Least Common Multiple of 31/75, 188/76, 646/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/75, 188/76, 646/216 quickly i.e. 1882444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/75, 188/76, 646/216 is 1882444.

LCM(31/75, 188/76, 646/216) = 1882444

LCM of 31/75, 188/76, 646/216

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 31/75,188/76,646/216

Given numbers are 31/75,188/76,646/216

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 31,188,646

Least Common Multiple of Numerators i.e. LCM of 31,188,646 is 1882444.

GCF of Denominators means GCF of 75,76,216 as per the given fractions.

GCF of 75,76,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,188,646

LCM of Fractions 31/75,188/76,646/216 is 1882444

2 31, 188, 646
31, 94, 323

∴ So the LCM of the given numbers is 2 x 31 x 94 x 323 = 1882444

Least Common Multiple of 31,188,646 with GCF Formula

Least Common Multiple of 31,188,646 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 31,188,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,188,646) = 1

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

GCF(31,188,646) x common factors =1 x 2 = 2

LCM(31,188,646) = ( 31 × 188 × 646 ) / 2

LCM(31,188,646) = 3764888 / 2

LCM(31,188,646) = 1882444


Lets's calculate GCF of 75,76,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1882444/1

Therefore the LCM of Fractions 31/75,188/76,646/216 is 1882444

Greatest Common Factor of 75,76,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,76,216 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 76

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

1,2,4,19,38,76

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 75,76,216 . The biggest common factor number is the GCF number.
So the greatest common factor 75,76,216 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 31/75, 188/76, 646/216

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 31/75, 188/76, 646/216?

Answer: LCM of Numerators as per given numbers 31/75, 188/76, 646/216 is

LCM of Numerators i.e. for 31,188,646 is 1882444

GCF of denominators i.e. for 75,76,216 is 1.

Thus, LCM of Fractions is 1882444.Finally, LCM of Fractions for 31/75, 188/76, 646/216 is 1882444.