Find Least Common Multiple of 912 and 1210 using prime factorisation method.
Answer
LCM( 912, 1210 ) = 551760
Explanation
Step 1: Write down factorisation of each number:
912 = 2 · 2 · 2 · 2 · 3 · 19
1210 = 2 · 5 · 11 · 11
Step 2 : Match primes vertically:
| 912 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 19 | ||||||
| 1210 | = | 2 | · | 5 | · | 11 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 912 | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 19 | ||||||||
| 1210 | = | 2 | · | 5 | · | 11 | · | 11 | ||||||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 5 | · | 11 | · | 11 | · | 19 | = | 551760 |
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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