Least Common Multiple of 31/746, 589/349, 359/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/746, 589/349, 359/820 quickly i.e. 211451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/746, 589/349, 359/820 is 211451.

LCM(31/746, 589/349, 359/820) = 211451

LCM of 31/746, 589/349, 359/820

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 31/746,589/349,359/820

Given numbers are 31/746,589/349,359/820

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 31,589,359

Least Common Multiple of Numerators i.e. LCM of 31,589,359 is 211451.

GCF of Denominators means GCF of 746,349,820 as per the given fractions.

GCF of 746,349,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,589,359

LCM of Fractions 31/746,589/349,359/820 is 211451

31 31, 589, 359
1, 19, 359

∴ So the LCM of the given numbers is 31 x 1 x 19 x 359 = 211451

Least Common Multiple of 31,589,359 with GCF Formula

Least Common Multiple of 31,589,359 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 31,589,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,589,359) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,589,359) x common factors =1 x 31 = 31

LCM(31,589,359) = ( 31 × 589 × 359 ) / 31

LCM(31,589,359) = 6554981 / 31

LCM(31,589,359) = 211451


Lets's calculate GCF of 746,349,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211451/1

Therefore the LCM of Fractions 31/746,589/349,359/820 is 211451

Greatest Common Factor of 746,349,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,349,820 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 746,349,820 . The biggest common factor number is the GCF number.
So the greatest common factor 746,349,820 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 31/746, 589/349, 359/820

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 31/746, 589/349, 359/820?

Answer: LCM of Numerators as per given numbers 31/746, 589/349, 359/820 is

LCM of Numerators i.e. for 31,589,359 is 211451

GCF of denominators i.e. for 746,349,820 is 1.

Thus, LCM of Fractions is 211451.Finally, LCM of Fractions for 31/746, 589/349, 359/820 is 211451.