Find Least Common Multiple of 57, 19 and 38 using prime factorisation method.
Answer
LCM( 57, 19, 38 ) = 114
Explanation
Step 1: Write down factorisation of each number:
57 = 3 · 19
19 = 19
38 = 2 · 19
Step 2 : Match primes vertically:
| 57 | = | 3 | · | 19 | ||
| 19 | = | 19 | ||||
| 38 | = | 2 | · | 19 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 57 | = | 3 | · | 19 | ||||
| 19 | = | 19 | ||||||
| 38 | = | 2 | · | 19 | ||||
| LCM | = | 2 | · | 3 | · | 19 | = | 114 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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