Examples to find Least Common Multiple by using Prime Factorization Method
This topic would provide various examples on finding the least common multiple using the method of prime factorization.
Here are few examples illustrated on finding the least common multiple using the prime factorization method.
1. Find the least common multiple (L.C.M) of 105 and 124 by prime factorization method
The factors of 105 = 5 × 3 × 7
The factors of 124 = 2 × 2 × 31 = 22 × 31
The prime factors are 2, 3, 5, 7 and 31
The highest power of 2 is 22
The highest power of 3 is 3
The highest power of 5 is 5
The highest power of 7 is 7
The highest power of 31 is 31
The least common multiple of 105 and 124 is 22 × 5 × 3 × 7 × 31 = 13020
2. Find the least common multiple (L.C.M) of 18 and 30 by prime factorization method
The factors of 18 are: 2 × 3 × 3 = 2 × 32
The factors of 30 are: 2 × 3 × 5
The prime factors are 2, 3, and 5
The highest power of 2 is 2
The highest power of 3 is 32
The highest power of 5 is 5
The least common multiple of 18 and 30 is 2 × 32 × 5 = 2 × 3 × 3 × 5 = 90
3. Find the least common multiple (L.C.M) of 180 and 220 by prime factorization method
The factors of 180 are: 2 × 2 × 3 × 3 × 5 = 22 × 32 × 5
The factors of 220 are: 2 × 2 × 5 × 11 = 22 × 5 × 11
The prime factors are 2, 3, and 5
The highest power of 2 is 22
The highest power of 3 is 32
The highest power of 5 is 5
The highest power of 11 is 11
The least common multiple of 180 and 220 is 22 × 32 ×5 × 11= 2 × 2 × 3 × 3 × 5 × 11 = 1980
4. Find the least common multiple (L.C.M) of 360 and 520 by prime factorization method:
The factors of 360 are: 2 × 2 × 2 × 3 × 3 × 5 = 23 × 32 × 5
The factors of 520 are: 2 × 2 × 2 × 5 × 13 = 23 × 5 × 13
The prime factors are 2, 3, 5 and 13
The highest power of 2 is 23
The highest power of 3 is 32
The highest power of 5 is 5
The highest power of 13 is 13
The least common multiple of 360 and 520 is 23 × 32 × 5 × 13 = 2 × 2 × 2 × 3 × 3 × 5 × 13 = 4680
5. Find the least common multiple (L.C.M) of 44 and 88 by prime factorization method:
The factors of 44 are: 2 × 2 × 11 = 22 × 11
The factors of 88 are: 2 × 2 × 2 × 11 = 23 × 11
The prime factors are 2 and 11
The highest power of 2 is 23
The highest power of 11 is 11
The least common multiple of 44 and 88 is 23 × 11 = 2 × 2 × 2 × 11 = 88.
You might like these
Worksheet on Divisibility Rules | Questions on Test of Divisibility
This is a worksheet which will provide few problems on the divisibility rule of 2, 3, 4, 5, 6, 7, 8, 9, and 10. 1. Check whether the following numbers are divisible by 2 or 3 or both? (i) 2562 (ii) 5693 (iii) 2201 (iv) 7480 (v) 5296 (vi) 4062 (vii) 4568 (viii) 1425 (ix) 1110
Problems on Divisibility Rules | Rules to Test of Divisibility | Test
Here are few problems on the divisibility rules of 2, 3, 4, 5, 6, 7, 8, 9, and 10 which will help the learners in revising their concepts on the divisibility rules. 1. Check whether 3456 is divisible by 2? Solution: The last digit is an even number (i.e. 6) hence 3456 is
From Examples to find Least Common Multiple by using Prime Factorization Method to HOME PAGE
Recent Articles
-
Mechanism of Breathing | Definition of Inspiration and Expiration
Aug 17, 25 11:41 PM
Breathing is the process which is accomplished in three states that is inspiration expiration and pause . Definition of inspiration - Entry of air into the lungs from outside during breathing is calle… -
Human Respiratory System | External Nares | Nasal Cavity | Pharynx
Aug 04, 25 03:14 PM
Definition of respiration - This is the process of making energy available to organisms and their living cells through enzyme controlled catabolic breakdown of organic molecules. The organic materials… -
Disorders of Digestive System | Symptoms of Jaundice | Vomiting |
Jul 16, 25 12:18 PM
Jaundice- It is a disease that occurs due to Umesh discoloration of the skin due to deposition of bilirubin and biliverdin pigment. Jaundice can be offered according to the different position like pre… -
Absorption of Digested Products | Absorption of Water | Nephrons
Jul 09, 25 02:24 PM
Food and water is observed in different parts of the body and is distributed in different cells and tissues. Absorption of food is observed to be observed in the small intestine in the specific type o… -
Eleventh Grade | Eleventh Grade Science | Eleventh Grade Biology
Jun 27, 25 12:26 AM
Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.
New! Comments
Have your say about what you just read! Leave me a comment in the box below.