Least Common Multiple of 528/83, 260/54, 757/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 528/83, 260/54, 757/808 quickly i.e. 25980240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/83, 260/54, 757/808 is 25980240.

LCM(528/83, 260/54, 757/808) = 25980240

LCM of 528/83, 260/54, 757/808

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 528/83,260/54,757/808

Given numbers are 528/83,260/54,757/808

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 528,260,757

Least Common Multiple of Numerators i.e. LCM of 528,260,757 is 25980240.

GCF of Denominators means GCF of 83,54,808 as per the given fractions.

GCF of 83,54,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,260,757

LCM of Fractions 528/83,260/54,757/808 is 25980240

2 528, 260, 757
2 264, 130, 757
132, 65, 757

∴ So the LCM of the given numbers is 2 x 2 x 132 x 65 x 757 = 25980240

Least Common Multiple of 528,260,757 with GCF Formula

Least Common Multiple of 528,260,757 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 528,260,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,260,757) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(528,260,757) x common factors =1 x 4 = 4

LCM(528,260,757) = ( 528 × 260 × 757 ) / 4

LCM(528,260,757) = 103920960 / 4

LCM(528,260,757) = 25980240


Lets's calculate GCF of 83,54,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25980240/1

Therefore the LCM of Fractions 528/83,260/54,757/808 is 25980240

Greatest Common Factor of 83,54,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,54,808 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 83,54,808 . The biggest common factor number is the GCF number.
So the greatest common factor 83,54,808 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 528/83, 260/54, 757/808

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 528/83, 260/54, 757/808?

Answer: LCM of Numerators as per given numbers 528/83, 260/54, 757/808 is

LCM of Numerators i.e. for 528,260,757 is 25980240

GCF of denominators i.e. for 83,54,808 is 1.

Thus, LCM of Fractions is 25980240.Finally, LCM of Fractions for 528/83, 260/54, 757/808 is 25980240.