Least Common Multiple of 936/498, 1038/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 936/498, 1038/528 quickly i.e. 26988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/498, 1038/528 is 26988.

LCM(936/498, 1038/528) = 26988

LCM of 936/498, 1038/528

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 936/498,1038/528

Given numbers are 936/498,1038/528

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 936,1038

Least Common Multiple of Numerators i.e. LCM of 936,1038 is 161928.

GCF of Denominators means GCF of 498,528 as per the given fractions.

GCF of 498,528 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,1038

LCM of Fractions 936/498,1038/528 is 26988

2 936, 1038
3 468, 519
156, 173

∴ So the LCM of the given numbers is 2 x 3 x 156 x 173 = 161928

Least Common Multiple of 936,1038 with GCF Formula

Least Common Multiple of 936,1038 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 936,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,1038) = 6

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

GCF(936,1038) x common factors =6 x 1 = 6

LCM(936,1038) = ( 936 × 1038 ) / 6

LCM(936,1038) = 971568 / 6

LCM(936,1038) = 161928


Lets's calculate GCF of 498,528

2 498, 528
3 249, 264
83, 88

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161928/6

Therefore the LCM of Fractions 936/498,1038/528 is 26988

Greatest Common Factor of 498,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,528 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 498,528 . The biggest common factor number is the GCF number.
So the greatest common factor 498,528 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 936/498, 1038/528

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 936/498, 1038/528?

Answer: LCM of Numerators as per given numbers 936/498, 1038/528 is

LCM of Numerators i.e. for 936,1038 is 161928

GCF of denominators i.e. for 498,528 is 6.

Thus, LCM of Fractions is 26988.Finally, LCM of Fractions for 936/498, 1038/528 is 26988.