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Question
Find the L.C.M. of 140 and 168. Use the L.C.M. obtained to find the H.C.F. of the given numbers.
Sum
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Solution
Numbers are 140 and 168
L.C.M. of 140 and 168
| 2 | 140, | 168 |
| 2 | 70, | 84 |
| 7 | 35, | 42 |
| 5, | 6 |
= 2 × 2 × 7 × 5 × 6 = 840
H.C.F. =`"1st number×2nd number"/"L.C.M."`
= `(140×168)/840`
= 28
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