Least Common Multiple of 96/534, 8621/8955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/534, 8621/8955 quickly i.e. 275872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/534, 8621/8955 is 275872.

LCM(96/534, 8621/8955) = 275872

LCM of 96/534, 8621/8955

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 96/534,8621/8955

Given numbers are 96/534,8621/8955

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 96,8621

Least Common Multiple of Numerators i.e. LCM of 96,8621 is 827616.

GCF of Denominators means GCF of 534,8955 as per the given fractions.

GCF of 534,8955 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,8621

LCM of Fractions 96/534,8621/8955 is 275872

Given numbers has no common factors except 1. So, there LCM is their product i.e 827616

Least Common Multiple of 96,8621 with GCF Formula

Least Common Multiple of 96,8621 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 96,8621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,8621) = 1

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

GCF(96,8621) x common factors =1 x 1 = 1

LCM(96,8621) = ( 96 × 8621 ) / 1

LCM(96,8621) = 827616 / 1

LCM(96,8621) = 827616


Lets's calculate GCF of 534,8955

3 534, 8955
178, 2985

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 827616/3

Therefore the LCM of Fractions 96/534,8621/8955 is 275872

Greatest Common Factor of 534,8955 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,8955 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1,3,5,9,15,45,199,597,995,1791,2985,8955

Greatest Common Factor

We found the factors 534,8955 . The biggest common factor number is the GCF number.
So the greatest common factor 534,8955 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/534, 8621/8955

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 96/534, 8621/8955?

Answer: LCM of Numerators as per given numbers 96/534, 8621/8955 is

LCM of Numerators i.e. for 96,8621 is 827616

GCF of denominators i.e. for 534,8955 is 3.

Thus, LCM of Fractions is 275872.Finally, LCM of Fractions for 96/534, 8621/8955 is 275872.