Least Common Multiple of 703/31, 250/35, 268/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 703/31, 250/35, 268/567 quickly i.e. 23550500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/31, 250/35, 268/567 is 23550500.

LCM(703/31, 250/35, 268/567) = 23550500

LCM of 703/31, 250/35, 268/567

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 703/31,250/35,268/567

Given numbers are 703/31,250/35,268/567

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 703,250,268

Least Common Multiple of Numerators i.e. LCM of 703,250,268 is 23550500.

GCF of Denominators means GCF of 31,35,567 as per the given fractions.

GCF of 31,35,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,250,268

LCM of Fractions 703/31,250/35,268/567 is 23550500

2 703, 250, 268
703, 125, 134

∴ So the LCM of the given numbers is 2 x 703 x 125 x 134 = 23550500

Least Common Multiple of 703,250,268 with GCF Formula

Least Common Multiple of 703,250,268 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 703,250,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,250,268) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(703,250,268) x common factors =1 x 2 = 2

LCM(703,250,268) = ( 703 × 250 × 268 ) / 2

LCM(703,250,268) = 47101000 / 2

LCM(703,250,268) = 23550500


Lets's calculate GCF of 31,35,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23550500/1

Therefore the LCM of Fractions 703/31,250/35,268/567 is 23550500

Greatest Common Factor of 31,35,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,35,567 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 31,35,567 . The biggest common factor number is the GCF number.
So the greatest common factor 31,35,567 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 703/31, 250/35, 268/567

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 703/31, 250/35, 268/567?

Answer: LCM of Numerators as per given numbers 703/31, 250/35, 268/567 is

LCM of Numerators i.e. for 703,250,268 is 23550500

GCF of denominators i.e. for 31,35,567 is 1.

Thus, LCM of Fractions is 23550500.Finally, LCM of Fractions for 703/31, 250/35, 268/567 is 23550500.