Least Common Multiple of 57/425, 22/347, 258/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/425, 22/347, 258/437 quickly i.e. 53922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/425, 22/347, 258/437 is 53922.

LCM(57/425, 22/347, 258/437) = 53922

LCM of 57/425, 22/347, 258/437

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 57/425,22/347,258/437

Given numbers are 57/425,22/347,258/437

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 57,22,258

Least Common Multiple of Numerators i.e. LCM of 57,22,258 is 53922.

GCF of Denominators means GCF of 425,347,437 as per the given fractions.

GCF of 425,347,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,22,258

LCM of Fractions 57/425,22/347,258/437 is 53922

2 57, 22, 258
3 57, 11, 129
19, 11, 43

∴ So the LCM of the given numbers is 2 x 3 x 19 x 11 x 43 = 53922

Least Common Multiple of 57,22,258 with GCF Formula

Least Common Multiple of 57,22,258 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 57,22,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,22,258) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(57,22,258) x common factors =1 x 6 = 6

LCM(57,22,258) = ( 57 × 22 × 258 ) / 6

LCM(57,22,258) = 323532 / 6

LCM(57,22,258) = 53922


Lets's calculate GCF of 425,347,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53922/1

Therefore the LCM of Fractions 57/425,22/347,258/437 is 53922

Greatest Common Factor of 425,347,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,347,437 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 425,347,437 . The biggest common factor number is the GCF number.
So the greatest common factor 425,347,437 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/425, 22/347, 258/437

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 57/425, 22/347, 258/437?

Answer: LCM of Numerators as per given numbers 57/425, 22/347, 258/437 is

LCM of Numerators i.e. for 57,22,258 is 53922

GCF of denominators i.e. for 425,347,437 is 1.

Thus, LCM of Fractions is 53922.Finally, LCM of Fractions for 57/425, 22/347, 258/437 is 53922.