Question

The LCM and HCF of two numbers are 360 and 12 respectively.If the bigger number is 72,find the smaller number​

Answer 1

Answer:

60

Step-by-step explanation:

hope it will helpfull

Answer 2

Concept: In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. The product of HCF and LCM of the given positive integers suppose “m” and “n” is equal to the multiplication of the given numbers “m” and “n”. That is, HCF(m,n) × LCM (m,n) =m × n.

Given: LCM of two numbers = 360

           HCF of two numbers = 12

           Bigger number = 72

To find: The smaller number

Solution: As we know the formula,

HCF × LCM = one number × another number

Let the another number be x

$12 * 360 = 72 * x$

$\frac{12 * 360}{72} = x$

$\frac{4320}{72} = x$

$60 = x$

Hence, the smaller number is 60.

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