Least Common Multiple of 4520/10, 4957/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4520/10, 4957/854 quickly i.e. 11202820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4520/10, 4957/854 is 11202820.

LCM(4520/10, 4957/854) = 11202820

LCM of 4520/10, 4957/854

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 4520/10,4957/854

Given numbers are 4520/10,4957/854

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 4520,4957

Least Common Multiple of Numerators i.e. LCM of 4520,4957 is 22405640.

GCF of Denominators means GCF of 10,854 as per the given fractions.

GCF of 10,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4520,4957

LCM of Fractions 4520/10,4957/854 is 11202820

Given numbers has no common factors except 1. So, there LCM is their product i.e 22405640

Least Common Multiple of 4520,4957 with GCF Formula

Least Common Multiple of 4520,4957 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 4520,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4520,4957) = 1

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

GCF(4520,4957) x common factors =1 x 1 = 1

LCM(4520,4957) = ( 4520 × 4957 ) / 1

LCM(4520,4957) = 22405640 / 1

LCM(4520,4957) = 22405640


Lets's calculate GCF of 10,854

2 10, 854
5, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22405640/2

Therefore the LCM of Fractions 4520/10,4957/854 is 11202820

Greatest Common Factor of 10,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,854 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 10,854 . The biggest common factor number is the GCF number.
So the greatest common factor 10,854 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4520/10, 4957/854

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 4520/10, 4957/854?

Answer: LCM of Numerators as per given numbers 4520/10, 4957/854 is

LCM of Numerators i.e. for 4520,4957 is 22405640

GCF of denominators i.e. for 10,854 is 2.

Thus, LCM of Fractions is 11202820.Finally, LCM of Fractions for 4520/10, 4957/854 is 11202820.