Question

The Least Common Multiple(LCM) of $0.12,9.60$ and $0.60$ is?

• A. $9.60$
• B. $0.12$
• C. $0.6$
• D. None of these

Answer 1

The correct option is A $9.60$

$\text{Steps to solve H.C.F. and L.C.M. of decimals:}$

i) Convert each of the decimals to like decimals.

(ii)Remove the decimal point and find the highest common factor and least common multiple as usual.}

(iii) In the answer (highest common factor /least common multiple), put the decimal point as there are a number of decimal places in the like decimals

$\text{we have to find LCM of 0.12,9.60, and 0.60}$

converting decimals to like decimals

$\Rightarrow 12,960,60$

prime factorization of 12$\Rightarrow 2^2\times 3$

prime factorization of 960 $\Rightarrow 2^6\times 3\times 5$

prime factorization of 60$\Rightarrow 2^2\times 3\times 5$

LCM(12,960,60) $=2^6\times 3\times 5=960$

B(iii) In the answer (highest common factor /least common multiple), put the decimal point as there are a numbery putting the decimal point as there are a number of decimal places in the like decimals. we get

$\text{LCM(0.12,9.60,0.60) is 9.60}$