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Question
Find the L.C.M. of the following group of numbers, using
- the prime factor method and
- the common division method
18, 24 and 96
Solution
L.C.M. of 18, 24 and 96
i. By prime factors
Prime factors of 18 = 2 x 3 x 3
Prime factors of 24 = 2 x 2 x 2 x 3
Prime factors of 96 = 2 x 2 x 2 x 2 x 2 x 3
L.C.M. = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288
ii. By common division method
L.C.M. of 18, 24 and 96 = 2 x 2 x 2 x 3 x 3 x 4 = 288
| 2 | 18, | 24, | 96 |
| 2 | 9, | 12, | 48 |
| 2 | 9, | 6, | 24 |
| 3 | 9, | 3, | 12 |
| 3, | 1, | 4 |
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State true or false. Give an example.
L.C.M. of two co-prime numbers is equal to their product.
