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Find the LCM of 1.2, 1.8, 2, 2.5.
Question

Find the LCM of 1.2, 1.8, 2, 2.5.

A.

30

B.

120

C.

90

D.

25

Correct option is C

Given:  1.2, 1.8, 2, 2.5  Formula Used:  LCM of decimals=LCM of integersLCM of denominators  Solution:  1.2=1210, 1.8=1810, 2=21, 2.5=2510  LCM of denominators=10  Integers=12, 18, 20, 25  12=22×3  18=2×32  20=22×5  25=52  LCM=22×32×52=900  Required LCM=90010=90  Final Answer  90\textbf{Given:} \\ \space \, \\1.2,\ 1.8,\ 2,\ 2.5 \\ \space \, \\\textbf{Formula Used:} \\ \space \, \\\text{LCM of decimals} = \frac{\text{LCM of integers}}{\text{LCM of denominators}} \\ \space \, \\\textbf{Solution:} \\ \space \, \\1.2=\frac{12}{10},\ 1.8=\frac{18}{10},\ 2=\frac{2}{1},\ 2.5=\frac{25}{10} \\ \space \, \\\text{LCM of denominators} = 10 \\ \space \, \\\text{Integers} = 12,\ 18,\ 20,\ 25 \\ \space \, \\12=2^2 \times 3 \\ \space \, \\18=2 \times 3^2 \\ \space \, \\20=2^2 \times 5 \\ \space \, \\25=5^2 \\ \space \, \\\text{LCM} = 2^2 \times 3^2 \times 5^2 = 900 \\ \space \, \\\text{Required LCM} = \frac{900}{10} = 90 \\ \space \, \\\textbf{Final Answer} \\ \space \, \\90​​

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