Least Common Multiple of 31/76, 653/24, 160/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/76, 653/24, 160/839 quickly i.e. 3238880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/76, 653/24, 160/839 is 3238880.

LCM(31/76, 653/24, 160/839) = 3238880

LCM of 31/76, 653/24, 160/839

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 31/76,653/24,160/839

Given numbers are 31/76,653/24,160/839

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 31,653,160

Least Common Multiple of Numerators i.e. LCM of 31,653,160 is 3238880.

GCF of Denominators means GCF of 76,24,839 as per the given fractions.

GCF of 76,24,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,653,160

LCM of Fractions 31/76,653/24,160/839 is 3238880

Given numbers has no common factors except 1. So, there LCM is their product i.e 3238880

Least Common Multiple of 31,653,160 with GCF Formula

Least Common Multiple of 31,653,160 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 31,653,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,653,160) = 1

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

GCF(31,653,160) x common factors =1 x 1 = 1

LCM(31,653,160) = ( 31 × 653 × 160 ) / 1

LCM(31,653,160) = 3238880 / 1

LCM(31,653,160) = 3238880


Lets's calculate GCF of 76,24,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3238880/1

Therefore the LCM of Fractions 31/76,653/24,160/839 is 3238880

Greatest Common Factor of 76,24,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,24,839 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 76,24,839 . The biggest common factor number is the GCF number.
So the greatest common factor 76,24,839 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 31/76, 653/24, 160/839

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 31/76, 653/24, 160/839?

Answer: LCM of Numerators as per given numbers 31/76, 653/24, 160/839 is

LCM of Numerators i.e. for 31,653,160 is 3238880

GCF of denominators i.e. for 76,24,839 is 1.

Thus, LCM of Fractions is 3238880.Finally, LCM of Fractions for 31/76, 653/24, 160/839 is 3238880.