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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
14, 21 and 98
Solution
L.C.M. of 14, 21 and 98
i. By prime factors
Prime factors of 14 = 2 x 7 = 21 x 71
Prime factors of 21 = 3 x 7 = 31 x 71
Prime factors of 98 = 2 x 7 x 7 = 21 x 72
∴ L.C.M. of 14, 21 and 98 = 21 x 31 x 72 = 294
ii. By common division method
| 2 | 14, | 21, | 98 |
| 7 | 7, | 21, | 49 |
| 1, | 3, | 7 |
∴ L.C.M. of 14, 21 and 98 = 2 x 7 x 3 x 7 = 294
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