Least Common Multiple of 721/812, 410/639, 269/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/812, 410/639, 269/636 quickly i.e. 79519090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/812, 410/639, 269/636 is 79519090.

LCM(721/812, 410/639, 269/636) = 79519090

LCM of 721/812, 410/639, 269/636

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 721/812,410/639,269/636

Given numbers are 721/812,410/639,269/636

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 721,410,269

Least Common Multiple of Numerators i.e. LCM of 721,410,269 is 79519090.

GCF of Denominators means GCF of 812,639,636 as per the given fractions.

GCF of 812,639,636 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,410,269

LCM of Fractions 721/812,410/639,269/636 is 79519090

Given numbers has no common factors except 1. So, there LCM is their product i.e 79519090

Least Common Multiple of 721,410,269 with GCF Formula

Least Common Multiple of 721,410,269 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 721,410,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,410,269) = 1

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

GCF(721,410,269) x common factors =1 x 1 = 1

LCM(721,410,269) = ( 721 × 410 × 269 ) / 1

LCM(721,410,269) = 79519090 / 1

LCM(721,410,269) = 79519090


Lets's calculate GCF of 812,639,636

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79519090/1

Therefore the LCM of Fractions 721/812,410/639,269/636 is 79519090

Greatest Common Factor of 812,639,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,639,636 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 812,639,636 . The biggest common factor number is the GCF number.
So the greatest common factor 812,639,636 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 721/812, 410/639, 269/636

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 721/812, 410/639, 269/636?

Answer: LCM of Numerators as per given numbers 721/812, 410/639, 269/636 is

LCM of Numerators i.e. for 721,410,269 is 79519090

GCF of denominators i.e. for 812,639,636 is 1.

Thus, LCM of Fractions is 79519090.Finally, LCM of Fractions for 721/812, 410/639, 269/636 is 79519090.