Question

HCF of (a,b) = 12 and a b = 1800 then find the LCM of a and b .

Answer 1

HCF × LCM = Product of two numbers
HCF of (a,b) × LCM of (a,b) = a × b
12 × LCM = 1800

therefore LCM of a and B = 1800/12
= 150.


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Answer 2

Answer:

LCM of a and b is 150

Step-by-step explanation:

We know,

HCF of 2 numbers $\times$ LCM of same 2 numbers = product of two numbers.

Given that the 2 numbers are a and b

HCF of a and b = 12

Hence, according to the formula  

HCF of a and b $\times$ LCM of a and b = product of the two numbers a and b.  

12 $\times$ LCM of the numbers = ab

LCM of a and b = $\frac{1800}{12}$ = 150  

Therefore, LCM of a and b = 150