Find Least Common Multiple of 98 and 106 using prime factorisation method.
Answer
LCM( 98, 106 ) = 5194
Explanation
Step 1: Write down factorisation of each number:
98 = 2 · 7 · 7
106 = 2 · 53
Step 2 : Match primes vertically:
| 98 | = | 2 | · | 7 | · | 7 | ||
| 106 | = | 2 | · | 53 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 98 | = | 2 | · | 7 | · | 7 | ||||
| 106 | = | 2 | · | 53 | ||||||
| LCM | = | 2 | · | 7 | · | 7 | · | 53 | = | 5194 |
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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