Question

If HCM (a,b) =12 and a x b =1800, then LCM (a,b) is________

Answer 1

Given :

• HCF of two numbers a and b = 12

• product of the numbers = 1800 (a x b =1800)

To find :

• LCM of the numbers

Formula used :

$LCM \times HCF = product \: of \: two \: numbers$

Solution :

To find LCM we will the given formula :-

$\implies \: LCM \times HCF = product \: of \: two \: numbers$

$\implies \: LCM \times HCF =a \times b$

Put :-

• HCF = 12
• a×b = 1800

$\implies \: LCM \times12 =1800$

$\implies \: LCM = \dfrac{1800}{12}$

$\implies \: LCM = \dfrac{900}{6}$

$\implies \: LCM = \dfrac{300}{2}$

$\implies \: LCM = \dfrac{150}{1}$

Answer :

If HCM (a,b) =12 and a x b =1800, then LCM (a,b) is 150 .

Answer 2

Given ,

• HCF (a,b) = 12
• a × b = 1800

We know that , the relationship between the HCF and LCM of two number

$\boxed{ \tt{LCM \: ( a,b) = \frac{a \times b}{HCF \: (a,b)} }}$

Thus ,

LCM (a,b) = 1800/2

LCM (a,b) = 900

Therefore , the LCM of two number i.e a and b is 900

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