Least Common Multiple of 57/94, 53/53, 874/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/94, 53/53, 874/602 quickly i.e. 138966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/94, 53/53, 874/602 is 138966.

LCM(57/94, 53/53, 874/602) = 138966

LCM of 57/94, 53/53, 874/602

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 57/94,53/53,874/602

Given numbers are 57/94,53/53,874/602

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 57,53,874

Least Common Multiple of Numerators i.e. LCM of 57,53,874 is 138966.

GCF of Denominators means GCF of 94,53,602 as per the given fractions.

GCF of 94,53,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,53,874

LCM of Fractions 57/94,53/53,874/602 is 138966

19 57, 53, 874
3, 53, 46

∴ So the LCM of the given numbers is 19 x 3 x 53 x 46 = 138966

Least Common Multiple of 57,53,874 with GCF Formula

Least Common Multiple of 57,53,874 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 57,53,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,53,874) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,53,874) x common factors =1 x 19 = 19

LCM(57,53,874) = ( 57 × 53 × 874 ) / 19

LCM(57,53,874) = 2640354 / 19

LCM(57,53,874) = 138966


Lets's calculate GCF of 94,53,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138966/1

Therefore the LCM of Fractions 57/94,53/53,874/602 is 138966

Greatest Common Factor of 94,53,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,53,602 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 94,53,602 . The biggest common factor number is the GCF number.
So the greatest common factor 94,53,602 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/94, 53/53, 874/602

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 57/94, 53/53, 874/602?

Answer: LCM of Numerators as per given numbers 57/94, 53/53, 874/602 is

LCM of Numerators i.e. for 57,53,874 is 138966

GCF of denominators i.e. for 94,53,602 is 1.

Thus, LCM of Fractions is 138966.Finally, LCM of Fractions for 57/94, 53/53, 874/602 is 138966.