Question

Find the L.C.M.

$2.5,0.15$ and $0.05$

• A. L.C.M. $=$$1.5$ and H.C.F. $=$ $0.5$
• B. L.C.M. $=$$0.15$ and H.C.F. $=$ $2.5$
  
• C. L.C.M. $=$ $2.5$ and H.C.F. $=$ $0.1$
• D. L.C.M. $=$ $7.5$ and H.C.F. $=$ $0.05$

Answer 1

Answer: (D)

L.C.M. $=$ $7.5$ and H.C.F. $=$ $0.05$

Let $a=2.5,b=0.15$ and $c=0.05$

Now, we write the given numbers in fractions as follows:

$a=2.5=\frac{25}{10}$

$a=0.15=\frac{15}{100}$

$a=0.05=\frac{5}{100}$

LCM of two or more fractions is given by LCM of Numerators divided by HCF of Denominators and thus

LCM of the numerators $(25,15,5)=75$

HCF of the denominators $(10,100,100)=10$

Therefore,

LCM$(a,b,c)=\frac{75}{10}=7.5$

Now, HCF of two or more fractions is given by HCF of Numerators divided by LCM of Denominators

HCF of the numerators $(25,15,5)=5$

LCM of the denominators $(10,100,100)=100$

Therefore,

HCF$(a,b,c)=\frac{5}{100}=0.05$

Hence, LCM of $2.5,0.15$ and $0.05$ is $7.5$ and HCF is $0.05$