Least Common Multiple of 31/356, 13/844, 598/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/356, 13/844, 598/845 quickly i.e. 18538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/356, 13/844, 598/845 is 18538.

LCM(31/356, 13/844, 598/845) = 18538

LCM of 31/356, 13/844, 598/845

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 31/356,13/844,598/845

Given numbers are 31/356,13/844,598/845

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 31,13,598

Least Common Multiple of Numerators i.e. LCM of 31,13,598 is 18538.

GCF of Denominators means GCF of 356,844,845 as per the given fractions.

GCF of 356,844,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,13,598

LCM of Fractions 31/356,13/844,598/845 is 18538

13 31, 13, 598
31, 1, 46

∴ So the LCM of the given numbers is 13 x 31 x 1 x 46 = 18538

Least Common Multiple of 31,13,598 with GCF Formula

Least Common Multiple of 31,13,598 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 31,13,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,13,598) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(31,13,598) x common factors =1 x 13 = 13

LCM(31,13,598) = ( 31 × 13 × 598 ) / 13

LCM(31,13,598) = 240994 / 13

LCM(31,13,598) = 18538


Lets's calculate GCF of 356,844,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18538/1

Therefore the LCM of Fractions 31/356,13/844,598/845 is 18538

Greatest Common Factor of 356,844,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,844,845 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 356,844,845 . The biggest common factor number is the GCF number.
So the greatest common factor 356,844,845 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 31/356, 13/844, 598/845

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 31/356, 13/844, 598/845?

Answer: LCM of Numerators as per given numbers 31/356, 13/844, 598/845 is

LCM of Numerators i.e. for 31,13,598 is 18538

GCF of denominators i.e. for 356,844,845 is 1.

Thus, LCM of Fractions is 18538.Finally, LCM of Fractions for 31/356, 13/844, 598/845 is 18538.