Least Common Multiple of 528/44, 781/26, 811/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 528/44, 781/26, 811/952 quickly i.e. 15201384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/44, 781/26, 811/952 is 15201384.

LCM(528/44, 781/26, 811/952) = 15201384

LCM of 528/44, 781/26, 811/952

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 528/44,781/26,811/952

Given numbers are 528/44,781/26,811/952

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 528,781,811

Least Common Multiple of Numerators i.e. LCM of 528,781,811 is 30402768.

GCF of Denominators means GCF of 44,26,952 as per the given fractions.

GCF of 44,26,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,781,811

LCM of Fractions 528/44,781/26,811/952 is 15201384

11 528, 781, 811
48, 71, 811

∴ So the LCM of the given numbers is 11 x 48 x 71 x 811 = 30402768

Least Common Multiple of 528,781,811 with GCF Formula

Least Common Multiple of 528,781,811 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 528,781,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,781,811) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(528,781,811) x common factors =1 x 11 = 11

LCM(528,781,811) = ( 528 × 781 × 811 ) / 11

LCM(528,781,811) = 334430448 / 11

LCM(528,781,811) = 30402768


Lets's calculate GCF of 44,26,952

2 44, 26, 952
22, 13, 476

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30402768/2

Therefore the LCM of Fractions 528/44,781/26,811/952 is 15201384

Greatest Common Factor of 44,26,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,26,952 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 44,26,952 . The biggest common factor number is the GCF number.
So the greatest common factor 44,26,952 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 528/44, 781/26, 811/952

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 528/44, 781/26, 811/952?

Answer: LCM of Numerators as per given numbers 528/44, 781/26, 811/952 is

LCM of Numerators i.e. for 528,781,811 is 30402768

GCF of denominators i.e. for 44,26,952 is 2.

Thus, LCM of Fractions is 15201384.Finally, LCM of Fractions for 528/44, 781/26, 811/952 is 15201384.