Question

14. The LCM of 2.5, 1.2, 20 and 7.5 is
(a) 60
(b) 65
(c) 70
(d) 50
plz give step by step explanation​

Answer 1

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To find the L.C.M. of 2.5, 1.2, 20 and 7.5:-

Change the decimals into fractions

$2.5 = \frac{25}{10} \\ \\ 1.2 = \frac{12}{10} \\ \\ 7.5 = \frac{75}{10}$

L.C.M. of:-

25=5×5

12=2×2×3

20=2×2×5

75=3×5×5

So their L.C.M. is 300

Now, H.C.F. :-

10=2×5

10=2×5

10=2×5

So their H.C.F. is 1

$\large\frac{300}{1} = 300$

So L.C.M. of 2.5, 1.2, 20 and 7.5 is 300

Hope it helps you.....