Least Common Multiple of 471/157, 596/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 471/157, 596/743 quickly i.e. 280716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 471/157, 596/743 is 280716.

LCM(471/157, 596/743) = 280716

LCM of 471/157, 596/743

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 471/157,596/743

Given numbers are 471/157,596/743

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 471,596

Least Common Multiple of Numerators i.e. LCM of 471,596 is 280716.

GCF of Denominators means GCF of 157,743 as per the given fractions.

GCF of 157,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 471,596

LCM of Fractions 471/157,596/743 is 280716

Given numbers has no common factors except 1. So, there LCM is their product i.e 280716

Least Common Multiple of 471,596 with GCF Formula

Least Common Multiple of 471,596 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 471,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,596) = 1

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

GCF(471,596) x common factors =1 x 1 = 1

LCM(471,596) = ( 471 × 596 ) / 1

LCM(471,596) = 280716 / 1

LCM(471,596) = 280716


Lets's calculate GCF of 157,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280716/1

Therefore the LCM of Fractions 471/157,596/743 is 280716

Greatest Common Factor of 157,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,743 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 157,743 . The biggest common factor number is the GCF number.
So the greatest common factor 157,743 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 471/157, 596/743

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 471/157, 596/743?

Answer: LCM of Numerators as per given numbers 471/157, 596/743 is

LCM of Numerators i.e. for 471,596 is 280716

GCF of denominators i.e. for 157,743 is 1.

Thus, LCM of Fractions is 280716.Finally, LCM of Fractions for 471/157, 596/743 is 280716.