Least Common Multiple of 531/375, 767/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 531/375, 767/622 quickly i.e. 6903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/375, 767/622 is 6903.

LCM(531/375, 767/622) = 6903

LCM of 531/375, 767/622

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 531/375,767/622

Given numbers are 531/375,767/622

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 531,767

Least Common Multiple of Numerators i.e. LCM of 531,767 is 6903.

GCF of Denominators means GCF of 375,622 as per the given fractions.

GCF of 375,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,767

LCM of Fractions 531/375,767/622 is 6903

59 531, 767
9, 13

∴ So the LCM of the given numbers is 59 x 9 x 13 = 6903

Least Common Multiple of 531,767 with GCF Formula

Least Common Multiple of 531,767 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 531,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,767) = 59

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

GCF(531,767) x common factors =59 x 1 = 59

LCM(531,767) = ( 531 × 767 ) / 59

LCM(531,767) = 407277 / 59

LCM(531,767) = 6903


Lets's calculate GCF of 375,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6903/1

Therefore the LCM of Fractions 531/375,767/622 is 6903

Greatest Common Factor of 375,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,622 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 375,622 . The biggest common factor number is the GCF number.
So the greatest common factor 375,622 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 531/375, 767/622

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 531/375, 767/622?

Answer: LCM of Numerators as per given numbers 531/375, 767/622 is

LCM of Numerators i.e. for 531,767 is 6903

GCF of denominators i.e. for 375,622 is 1.

Thus, LCM of Fractions is 6903.Finally, LCM of Fractions for 531/375, 767/622 is 6903.