Least Common Multiple of 657/85, 520/59, 743/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 657/85, 520/59, 743/923 quickly i.e. 253838520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 657/85, 520/59, 743/923 is 253838520.

LCM(657/85, 520/59, 743/923) = 253838520

LCM of 657/85, 520/59, 743/923

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 657/85,520/59,743/923

Given numbers are 657/85,520/59,743/923

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 657,520,743

Least Common Multiple of Numerators i.e. LCM of 657,520,743 is 253838520.

GCF of Denominators means GCF of 85,59,923 as per the given fractions.

GCF of 85,59,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 657,520,743

LCM of Fractions 657/85,520/59,743/923 is 253838520

Given numbers has no common factors except 1. So, there LCM is their product i.e 253838520

Least Common Multiple of 657,520,743 with GCF Formula

Least Common Multiple of 657,520,743 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 657,520,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,520,743) = 1

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

GCF(657,520,743) x common factors =1 x 1 = 1

LCM(657,520,743) = ( 657 × 520 × 743 ) / 1

LCM(657,520,743) = 253838520 / 1

LCM(657,520,743) = 253838520


Lets's calculate GCF of 85,59,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253838520/1

Therefore the LCM of Fractions 657/85,520/59,743/923 is 253838520

Greatest Common Factor of 85,59,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,59,923 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 85,59,923 . The biggest common factor number is the GCF number.
So the greatest common factor 85,59,923 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 657/85, 520/59, 743/923

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 657/85, 520/59, 743/923?

Answer: LCM of Numerators as per given numbers 657/85, 520/59, 743/923 is

LCM of Numerators i.e. for 657,520,743 is 253838520

GCF of denominators i.e. for 85,59,923 is 1.

Thus, LCM of Fractions is 253838520.Finally, LCM of Fractions for 657/85, 520/59, 743/923 is 253838520.