Find Least Common Multiple of 1476 and 861 using prime factorisation method.
Answer
LCM( 1476, 861 ) = 10332
Explanation
Step 1: Write down factorisation of each number:
1476 = 2 · 2 · 3 · 3 · 41
861 = 3 · 7 · 41
Step 2 : Match primes vertically:
| 1476 | = | 2 | · | 2 | · | 3 | · | 3 | · | 41 | ||
| 861 | = | 3 | · | 7 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 1476 | = | 2 | · | 2 | · | 3 | · | 3 | · | 41 | ||||
| 861 | = | 3 | · | 7 | · | 41 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 41 | = | 10332 |
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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