Least Common Multiple of 31/421, 18/478, 772/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/421, 18/478, 772/824 quickly i.e. 215388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/421, 18/478, 772/824 is 215388.

LCM(31/421, 18/478, 772/824) = 215388

LCM of 31/421, 18/478, 772/824

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 31/421,18/478,772/824

Given numbers are 31/421,18/478,772/824

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 31,18,772

Least Common Multiple of Numerators i.e. LCM of 31,18,772 is 215388.

GCF of Denominators means GCF of 421,478,824 as per the given fractions.

GCF of 421,478,824 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,18,772

LCM of Fractions 31/421,18/478,772/824 is 215388

2 31, 18, 772
31, 9, 386

∴ So the LCM of the given numbers is 2 x 31 x 9 x 386 = 215388

Least Common Multiple of 31,18,772 with GCF Formula

Least Common Multiple of 31,18,772 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 31,18,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,18,772) = 1

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

GCF(31,18,772) x common factors =1 x 2 = 2

LCM(31,18,772) = ( 31 × 18 × 772 ) / 2

LCM(31,18,772) = 430776 / 2

LCM(31,18,772) = 215388


Lets's calculate GCF of 421,478,824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215388/1

Therefore the LCM of Fractions 31/421,18/478,772/824 is 215388

Greatest Common Factor of 421,478,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,478,824 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 421,478,824 . The biggest common factor number is the GCF number.
So the greatest common factor 421,478,824 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 31/421, 18/478, 772/824

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 31/421, 18/478, 772/824?

Answer: LCM of Numerators as per given numbers 31/421, 18/478, 772/824 is

LCM of Numerators i.e. for 31,18,772 is 215388

GCF of denominators i.e. for 421,478,824 is 1.

Thus, LCM of Fractions is 215388.Finally, LCM of Fractions for 31/421, 18/478, 772/824 is 215388.