Find Least Common Multiple of 586 and 920 using prime factorisation method.
Answer
LCM( 586, 920 ) = 269560
Explanation
Step 1: Write down factorisation of each number:
586 = 2 · 293
920 = 2 · 2 · 2 · 5 · 23
Step 2 : Match primes vertically:
| 586 | = | 2 | · | 293 | ||||||||
| 920 | = | 2 | · | 2 | · | 2 | · | 5 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 586 | = | 2 | · | 293 | ||||||||||
| 920 | = | 2 | · | 2 | · | 2 | · | 5 | · | 23 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | · | 23 | · | 293 | = | 269560 |
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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