To Find Lowest Common Multiple by using Division Method

This topic discusses about finding the lowest common multiple using division method.


Steps to find the lowest common multiple using the division method:

Step I: Write the numbers in a row separating by commas

Step II: Then divide the given numbers (if possible both the numbers otherwise at least one) by a prime number

Step III: Then write the quotient in the next line under that corresponding number and if any of the given number is not divisible then that number is also written beside that quotient of the other number separated by comma

Step IV: Repeat step 2 and step 3 till all the numbers in last line are prime numbers.

Step V: Then all the prime numbers by which the given numbers are divided and the co- prime numbers left in the last row are multiplied to get the least common multiple.

Here are few examples to illustrate on how to find least common multiple using division method:

1. Find the least common multiple of 20 and 25 by using division method

Solution:

To Find Lowest Common Multiple by using Division Method

Therefore, the least common multiple (L.C.M) of 20 and 25 is 2 × 2 × 5 × 5 = 100

Explanation:

Both the numbers 20 and 25 is divided by 5 as it is the least common prime factor of both the numbers. Now, in the second line there are no common factors of 4 and 5. Hence, first 4 is reduced to get 2. In the end all the prime numbers by which the given numbers are divided and the co- prime numbers left in the last row are multiplied to get the least common multiple


2. Find the least common multiple of 120 and 256 by using division method

Solution:

To Find Lowest Common Multiple by using Division Method

Therefore, the least common multiple (L.C.M) of 120 and 256 is 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 = 3840

Explanation:

Here with common prime factor both the numbers are divided repeatedly till the quotient came 15 and 32 in third line where there is no common factor. Then 15 and 32 is reduced one after the other and the L.C.M is 3840.


3. Find the least common multiple of 144 and 228 by using division method

Solution:

To Find Lowest Common Multiple by using Division Method

Therefore, the least common multiple (L.C.M) of 144 and 228 is 2 × 2 × 2 × 2 × 3 × 3 × 19 = 2736

Explanation:

Here, 144 and 228 is divided repeatedly by their common prime factors till there are no common prime factors of the reduced numbers i.e. 12 and 19. Now 19 is a prime number hence it will have no factors hence, only 12 is reduced keeping 19 beside the quotient of 12 as it is.


4. Find the least common multiple of 84 and 92 by using division method

Solution:

To Find Lowest Common Multiple by using Division Method

Therefore, the least common multiple (L.C.M) of 84 and 92 is 2 × 2 × 3 × 7 × 23 = 1932

Explanation:

Here, 84 and 92 is divided by their common factors in first two steps. Then the quotient of second step is 21 and 23 where 23 is a prime number hence not divisible any more. But 21 is again divided by 3 to get 7 and 23 is kept as it is.




5th Grade Math

From To Find Lowest Common Multiple by using Division Method to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below.


Recent Articles

  1. Vernalisation in Plants | Definition | Mechanism | Devernalization |

    Jun 18, 25 01:34 PM

    Photoperiod and Vernalisation
    Definition of vernalisation- The change of flowering habit due to the low temperature treatment is known as vernalisation. This is a physiological process which was denoted by Clipart in 1857 invite b…

    Read More

  2. The Food We Eat | Food we Get from Plants and Animals | Carbohydrates

    Jun 15, 25 03:20 PM

    Food We Eat
    What are the food that we should eat? Find out the names of ten food items in the word maze. Write the names in the correct column of the table given below. Food we get from plants Food we get from an…

    Read More

  3. Photoperiodism Long Day and Short Day Plant |Definition of Phytochrome

    Jun 10, 25 02:55 PM

    Photoperiodism
    Definition of photoperiodism- photoperiodism is a process where the response of a particular flowering plant to the effective day length with respect to flowering occurs. In 1920 and in 1922 Garner an…

    Read More

  4. Physiological Effects of Plant Growth Regulators | Auxin, Gibberellins

    Jun 09, 25 03:40 AM

    Plant Hormones and Growth
    Internal regulators of growth and development internal regulator of growth and development are genetic factors and growth regulator as these are important internal regulator. Best genetic factors are…

    Read More

  5. Characteristics of Plant Growth Regulators | Definition | Functions |

    Apr 27, 25 01:21 PM

    Plant Growth Regulators
    Definition of plant growth regulators- This are very small molecules synthesized from the cells of different parts which are associated with the plant cell growth. Growth in unicellular organism emplo…

    Read More