Least Common Multiple of 76/750, 42/107, 187/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/750, 42/107, 187/216 quickly i.e. 298452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/750, 42/107, 187/216 is 298452.

LCM(76/750, 42/107, 187/216) = 298452

LCM of 76/750, 42/107, 187/216

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 76/750,42/107,187/216

Given numbers are 76/750,42/107,187/216

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 76,42,187

Least Common Multiple of Numerators i.e. LCM of 76,42,187 is 298452.

GCF of Denominators means GCF of 750,107,216 as per the given fractions.

GCF of 750,107,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,42,187

LCM of Fractions 76/750,42/107,187/216 is 298452

2 76, 42, 187
38, 21, 187

∴ So the LCM of the given numbers is 2 x 38 x 21 x 187 = 298452

Least Common Multiple of 76,42,187 with GCF Formula

Least Common Multiple of 76,42,187 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 76,42,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,42,187) = 1

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

GCF(76,42,187) x common factors =1 x 2 = 2

LCM(76,42,187) = ( 76 × 42 × 187 ) / 2

LCM(76,42,187) = 596904 / 2

LCM(76,42,187) = 298452


Lets's calculate GCF of 750,107,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298452/1

Therefore the LCM of Fractions 76/750,42/107,187/216 is 298452

Greatest Common Factor of 750,107,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,107,216 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

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 750,107,216 . The biggest common factor number is the GCF number.
So the greatest common factor 750,107,216 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 76/750, 42/107, 187/216

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 76/750, 42/107, 187/216?

Answer: LCM of Numerators as per given numbers 76/750, 42/107, 187/216 is

LCM of Numerators i.e. for 76,42,187 is 298452

GCF of denominators i.e. for 750,107,216 is 1.

Thus, LCM of Fractions is 298452.Finally, LCM of Fractions for 76/750, 42/107, 187/216 is 298452.