Least Common Multiple of 992/32, 133/7551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 992/32, 133/7551 quickly i.e. 131936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/32, 133/7551 is 131936.

LCM(992/32, 133/7551) = 131936

LCM of 992/32, 133/7551

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 992/32,133/7551

Given numbers are 992/32,133/7551

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 992,133

Least Common Multiple of Numerators i.e. LCM of 992,133 is 131936.

GCF of Denominators means GCF of 32,7551 as per the given fractions.

GCF of 32,7551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,133

LCM of Fractions 992/32,133/7551 is 131936

Given numbers has no common factors except 1. So, there LCM is their product i.e 131936

Least Common Multiple of 992,133 with GCF Formula

Least Common Multiple of 992,133 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 992,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,133) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(992,133) x common factors =1 x 1 = 1

LCM(992,133) = ( 992 × 133 ) / 1

LCM(992,133) = 131936 / 1

LCM(992,133) = 131936


Lets's calculate GCF of 32,7551

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131936/1

Therefore the LCM of Fractions 992/32,133/7551 is 131936

Greatest Common Factor of 32,7551 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,7551 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors 32,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 32,7551 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 992/32, 133/7551

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 992/32, 133/7551?

Answer: LCM of Numerators as per given numbers 992/32, 133/7551 is

LCM of Numerators i.e. for 992,133 is 131936

GCF of denominators i.e. for 32,7551 is 1.

Thus, LCM of Fractions is 131936.Finally, LCM of Fractions for 992/32, 133/7551 is 131936.