Find Least Common Multiple of 74, 37 and 10 using prime factorisation method.
Answer
LCM( 74, 37, 10 ) = 370
Explanation
Step 1: Write down factorisation of each number:
74 = 2 · 37
37 = 37
10 = 2 · 5
Step 2 : Match primes vertically:
| 74 | = | 2 | · | 37 | ||
| 37 | = | 37 | ||||
| 10 | = | 2 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 74 | = | 2 | · | 37 | ||||
| 37 | = | 37 | ||||||
| 10 | = | 2 | · | 5 | ||||
| LCM | = | 2 | · | 5 | · | 37 | = | 370 |
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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