Least Common Multiple of 96/539, 89/364, 954/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/539, 89/364, 954/853 quickly i.e. 1358496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/539, 89/364, 954/853 is 1358496.

LCM(96/539, 89/364, 954/853) = 1358496

LCM of 96/539, 89/364, 954/853

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 96/539,89/364,954/853

Given numbers are 96/539,89/364,954/853

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 96,89,954

Least Common Multiple of Numerators i.e. LCM of 96,89,954 is 1358496.

GCF of Denominators means GCF of 539,364,853 as per the given fractions.

GCF of 539,364,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,89,954

LCM of Fractions 96/539,89/364,954/853 is 1358496

2 96, 89, 954
3 48, 89, 477
16, 89, 159

∴ So the LCM of the given numbers is 2 x 3 x 16 x 89 x 159 = 1358496

Least Common Multiple of 96,89,954 with GCF Formula

Least Common Multiple of 96,89,954 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 96,89,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,89,954) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,89,954) x common factors =1 x 6 = 6

LCM(96,89,954) = ( 96 × 89 × 954 ) / 6

LCM(96,89,954) = 8150976 / 6

LCM(96,89,954) = 1358496


Lets's calculate GCF of 539,364,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1358496/1

Therefore the LCM of Fractions 96/539,89/364,954/853 is 1358496

Greatest Common Factor of 539,364,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,364,853 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 539,364,853 . The biggest common factor number is the GCF number.
So the greatest common factor 539,364,853 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/539, 89/364, 954/853

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 96/539, 89/364, 954/853?

Answer: LCM of Numerators as per given numbers 96/539, 89/364, 954/853 is

LCM of Numerators i.e. for 96,89,954 is 1358496

GCF of denominators i.e. for 539,364,853 is 1.

Thus, LCM of Fractions is 1358496.Finally, LCM of Fractions for 96/539, 89/364, 954/853 is 1358496.