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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.

120

B.

30

C.

90

D.

25

Correct option is C

Given:

The numbers are 1.2, 1.8, 2, and 2.5

Concept Used:

To find the LCM of decimal numbers, we first convert each decimal to a fraction.

Then, we find the LCM of the numerators and HCF denominators separately and simplify to get the LCM of the original decimal values.

Formula used:

LCM of fractions=LCM of numeratorsHCF of denominators\text{LCM of fractions} = \frac{\text{LCM of numerators}}{\text{HCF of denominators}} 

Solution: 

Convert decimals to fractions:  1.2=65, 1.8=95, 2=21,2.5=52 LCM of numerators=(6,9,2,5)=90 HCF of denominators=(5,5,1,2)=1 Now, LCM of fraction=901=90\text{Convert decimals to fractions:}\\\ \ \\1.2= \frac{6}{5},\ 1.8= \frac{9}{5}, \ 2= \frac{2}{1} , 2.5= \frac{5}{2} \\ \ \\ \text{LCM of numerators}=(6,9,2,5)=90\\ \ \\\text{HCF of denominators}=(5, 5, 1, 2)=1\\ \ \\ \text{Now, LCM of fraction}= \frac{90}{1}=90  

Thus  correct option is (c).

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