Least Common Multiple of 331/53, 645/21, 831/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 331/53, 645/21, 831/869 quickly i.e. 59138115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 331/53, 645/21, 831/869 is 59138115.

LCM(331/53, 645/21, 831/869) = 59138115

LCM of 331/53, 645/21, 831/869

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 331/53,645/21,831/869

Given numbers are 331/53,645/21,831/869

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 331,645,831

Least Common Multiple of Numerators i.e. LCM of 331,645,831 is 59138115.

GCF of Denominators means GCF of 53,21,869 as per the given fractions.

GCF of 53,21,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 331,645,831

LCM of Fractions 331/53,645/21,831/869 is 59138115

3 331, 645, 831
331, 215, 277

∴ So the LCM of the given numbers is 3 x 331 x 215 x 277 = 59138115

Least Common Multiple of 331,645,831 with GCF Formula

Least Common Multiple of 331,645,831 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 331,645,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,645,831) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(331,645,831) x common factors =1 x 3 = 3

LCM(331,645,831) = ( 331 × 645 × 831 ) / 3

LCM(331,645,831) = 177414345 / 3

LCM(331,645,831) = 59138115


Lets's calculate GCF of 53,21,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59138115/1

Therefore the LCM of Fractions 331/53,645/21,831/869 is 59138115

Greatest Common Factor of 53,21,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,21,869 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 53,21,869 . The biggest common factor number is the GCF number.
So the greatest common factor 53,21,869 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 331/53, 645/21, 831/869

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 331/53, 645/21, 831/869?

Answer: LCM of Numerators as per given numbers 331/53, 645/21, 831/869 is

LCM of Numerators i.e. for 331,645,831 is 59138115

GCF of denominators i.e. for 53,21,869 is 1.

Thus, LCM of Fractions is 59138115.Finally, LCM of Fractions for 331/53, 645/21, 831/869 is 59138115.