Least Common Multiple of 342/527, 491/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/527, 491/744 quickly i.e. 167922/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/527, 491/744 is 167922/31.

LCM(342/527, 491/744) = 167922/31

LCM of 342/527, 491/744

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 342/527,491/744

Given numbers are 342/527,491/744

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 342,491

Least Common Multiple of Numerators i.e. LCM of 342,491 is 167922.

GCF of Denominators means GCF of 527,744 as per the given fractions.

GCF of 527,744 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,491

LCM of Fractions 342/527,491/744 is 167922/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 167922

Least Common Multiple of 342,491 with GCF Formula

Least Common Multiple of 342,491 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 342,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,491) = 1

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

GCF(342,491) x common factors =1 x 1 = 1

LCM(342,491) = ( 342 × 491 ) / 1

LCM(342,491) = 167922 / 1

LCM(342,491) = 167922


Lets's calculate GCF of 527,744

31 527, 744
17, 24

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167922/31

Therefore the LCM of Fractions 342/527,491/744 is 167922/31

Greatest Common Factor of 527,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,744 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 527,744 . The biggest common factor number is the GCF number.
So the greatest common factor 527,744 is 31.


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 342/527, 491/744

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 342/527, 491/744?

Answer: LCM of Numerators as per given numbers 342/527, 491/744 is

LCM of Numerators i.e. for 342,491 is 167922

GCF of denominators i.e. for 527,744 is 31.

Thus, LCM of Fractions is 167922/31.Finally, LCM of Fractions for 342/527, 491/744 is 167922/31.