Least Common Multiple of 821/57, 333/37, 635/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/57, 333/37, 635/105 quickly i.e. 173604555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/57, 333/37, 635/105 is 173604555.

LCM(821/57, 333/37, 635/105) = 173604555

LCM of 821/57, 333/37, 635/105

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 821/57,333/37,635/105

Given numbers are 821/57,333/37,635/105

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 821,333,635

Least Common Multiple of Numerators i.e. LCM of 821,333,635 is 173604555.

GCF of Denominators means GCF of 57,37,105 as per the given fractions.

GCF of 57,37,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,333,635

LCM of Fractions 821/57,333/37,635/105 is 173604555

Given numbers has no common factors except 1. So, there LCM is their product i.e 173604555

Least Common Multiple of 821,333,635 with GCF Formula

Least Common Multiple of 821,333,635 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 821,333,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,333,635) = 1

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

GCF(821,333,635) x common factors =1 x 1 = 1

LCM(821,333,635) = ( 821 × 333 × 635 ) / 1

LCM(821,333,635) = 173604555 / 1

LCM(821,333,635) = 173604555


Lets's calculate GCF of 57,37,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173604555/1

Therefore the LCM of Fractions 821/57,333/37,635/105 is 173604555

Greatest Common Factor of 57,37,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,37,105 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 57,37,105 . The biggest common factor number is the GCF number.
So the greatest common factor 57,37,105 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 821/57, 333/37, 635/105

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 821/57, 333/37, 635/105?

Answer: LCM of Numerators as per given numbers 821/57, 333/37, 635/105 is

LCM of Numerators i.e. for 821,333,635 is 173604555

GCF of denominators i.e. for 57,37,105 is 1.

Thus, LCM of Fractions is 173604555.Finally, LCM of Fractions for 821/57, 333/37, 635/105 is 173604555.