Find Least Common Multiple of 56, 20 and 38 using prime factorisation method.
Answer
LCM( 56, 20, 38 ) = 5320
Explanation
Step 1: Write down factorisation of each number:
56 = 2 · 2 · 2 · 7
20 = 2 · 2 · 5
38 = 2 · 19
Step 2 : Match primes vertically:
| 56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||
| 20 | = | 2 | · | 2 | · | 5 | ||||||
| 38 | = | 2 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 56 | = | 2 | · | 2 | · | 2 | · | 7 | ||||||
| 20 | = | 2 | · | 2 | · | 5 | ||||||||
| 38 | = | 2 | · | 19 | ||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 7 | · | 19 | = | 5320 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator