Least Common Multiple of 20/527, 908/516, 948/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/527, 908/516, 948/916 quickly i.e. 1075980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/527, 908/516, 948/916 is 1075980.

LCM(20/527, 908/516, 948/916) = 1075980

LCM of 20/527, 908/516, 948/916

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 20/527,908/516,948/916

Given numbers are 20/527,908/516,948/916

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 20,908,948

Least Common Multiple of Numerators i.e. LCM of 20,908,948 is 1075980.

GCF of Denominators means GCF of 527,516,916 as per the given fractions.

GCF of 527,516,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,908,948

LCM of Fractions 20/527,908/516,948/916 is 1075980

2 20, 908, 948
2 10, 454, 474
5, 227, 237

∴ So the LCM of the given numbers is 2 x 2 x 5 x 227 x 237 = 1075980

Least Common Multiple of 20,908,948 with GCF Formula

Least Common Multiple of 20,908,948 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 20,908,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,908,948) = 4

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

GCF(20,908,948) x common factors =4 x 4 = 16

LCM(20,908,948) = ( 20 × 908 × 948 ) / 16

LCM(20,908,948) = 17215680 / 16

LCM(20,908,948) = 1075980


Lets's calculate GCF of 527,516,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075980/1

Therefore the LCM of Fractions 20/527,908/516,948/916 is 1075980

Greatest Common Factor of 527,516,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,516,916 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 527,516,916 . The biggest common factor number is the GCF number.
So the greatest common factor 527,516,916 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/527, 908/516, 948/916

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 20/527, 908/516, 948/916?

Answer: LCM of Numerators as per given numbers 20/527, 908/516, 948/916 is

LCM of Numerators i.e. for 20,908,948 is 1075980

GCF of denominators i.e. for 527,516,916 is 1.

Thus, LCM of Fractions is 1075980.Finally, LCM of Fractions for 20/527, 908/516, 948/916 is 1075980.