Least Common Multiple of 79/84, 53/72, 203/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/84, 53/72, 203/821 quickly i.e. 849961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/84, 53/72, 203/821 is 849961.

LCM(79/84, 53/72, 203/821) = 849961

LCM of 79/84, 53/72, 203/821

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 79/84,53/72,203/821

Given numbers are 79/84,53/72,203/821

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 79,53,203

Least Common Multiple of Numerators i.e. LCM of 79,53,203 is 849961.

GCF of Denominators means GCF of 84,72,821 as per the given fractions.

GCF of 84,72,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,53,203

LCM of Fractions 79/84,53/72,203/821 is 849961

Given numbers has no common factors except 1. So, there LCM is their product i.e 849961

Least Common Multiple of 79,53,203 with GCF Formula

Least Common Multiple of 79,53,203 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 79,53,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,53,203) = 1

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

GCF(79,53,203) x common factors =1 x 1 = 1

LCM(79,53,203) = ( 79 × 53 × 203 ) / 1

LCM(79,53,203) = 849961 / 1

LCM(79,53,203) = 849961


Lets's calculate GCF of 84,72,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849961/1

Therefore the LCM of Fractions 79/84,53/72,203/821 is 849961

Greatest Common Factor of 84,72,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,72,821 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 84,72,821 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,821 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 79/84, 53/72, 203/821

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 79/84, 53/72, 203/821?

Answer: LCM of Numerators as per given numbers 79/84, 53/72, 203/821 is

LCM of Numerators i.e. for 79,53,203 is 849961

GCF of denominators i.e. for 84,72,821 is 1.

Thus, LCM of Fractions is 849961.Finally, LCM of Fractions for 79/84, 53/72, 203/821 is 849961.