Find Least Common Multiple of 515 and 710 using prime factorisation method.
Answer
LCM( 515, 710 ) = 73130
Explanation
Step 1: Write down factorisation of each number:
515 = 5 · 103
710 = 2 · 5 · 71
Step 2 : Match primes vertically:
| 515 | = | 5 | · | 103 | ||||
| 710 | = | 2 | · | 5 | · | 71 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 515 | = | 5 | · | 103 | ||||||
| 710 | = | 2 | · | 5 | · | 71 | ||||
| LCM | = | 2 | · | 5 | · | 71 | · | 103 | = | 73130 |
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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