Least Common Multiple of 31/223, 53/702, 269/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/223, 53/702, 269/724 quickly i.e. 441967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/223, 53/702, 269/724 is 441967.

LCM(31/223, 53/702, 269/724) = 441967

LCM of 31/223, 53/702, 269/724

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 31/223,53/702,269/724

Given numbers are 31/223,53/702,269/724

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 31,53,269

Least Common Multiple of Numerators i.e. LCM of 31,53,269 is 441967.

GCF of Denominators means GCF of 223,702,724 as per the given fractions.

GCF of 223,702,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,53,269

LCM of Fractions 31/223,53/702,269/724 is 441967

Given numbers has no common factors except 1. So, there LCM is their product i.e 441967

Least Common Multiple of 31,53,269 with GCF Formula

Least Common Multiple of 31,53,269 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 31,53,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,53,269) = 1

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

GCF(31,53,269) x common factors =1 x 1 = 1

LCM(31,53,269) = ( 31 × 53 × 269 ) / 1

LCM(31,53,269) = 441967 / 1

LCM(31,53,269) = 441967


Lets's calculate GCF of 223,702,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441967/1

Therefore the LCM of Fractions 31/223,53/702,269/724 is 441967

Greatest Common Factor of 223,702,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,702,724 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 223,702,724 . The biggest common factor number is the GCF number.
So the greatest common factor 223,702,724 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 31/223, 53/702, 269/724

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 31/223, 53/702, 269/724?

Answer: LCM of Numerators as per given numbers 31/223, 53/702, 269/724 is

LCM of Numerators i.e. for 31,53,269 is 441967

GCF of denominators i.e. for 223,702,724 is 1.

Thus, LCM of Fractions is 441967.Finally, LCM of Fractions for 31/223, 53/702, 269/724 is 441967.