Least Common Multiple of 101/36, 787/90, 376/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/36, 787/90, 376/218 quickly i.e. 14943556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/36, 787/90, 376/218 is 14943556.

LCM(101/36, 787/90, 376/218) = 14943556

LCM of 101/36, 787/90, 376/218

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 101/36,787/90,376/218

Given numbers are 101/36,787/90,376/218

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 101,787,376

Least Common Multiple of Numerators i.e. LCM of 101,787,376 is 29887112.

GCF of Denominators means GCF of 36,90,218 as per the given fractions.

GCF of 36,90,218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,787,376

LCM of Fractions 101/36,787/90,376/218 is 14943556

Given numbers has no common factors except 1. So, there LCM is their product i.e 29887112

Least Common Multiple of 101,787,376 with GCF Formula

Least Common Multiple of 101,787,376 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 101,787,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,787,376) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(101,787,376) x common factors =1 x 1 = 1

LCM(101,787,376) = ( 101 × 787 × 376 ) / 1

LCM(101,787,376) = 29887112 / 1

LCM(101,787,376) = 29887112


Lets's calculate GCF of 36,90,218

2 36, 90, 218
18, 45, 109

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29887112/2

Therefore the LCM of Fractions 101/36,787/90,376/218 is 14943556

Greatest Common Factor of 36,90,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,90,218 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 36,90,218 . The biggest common factor number is the GCF number.
So the greatest common factor 36,90,218 is 2.


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 101/36, 787/90, 376/218

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 101/36, 787/90, 376/218?

Answer: LCM of Numerators as per given numbers 101/36, 787/90, 376/218 is

LCM of Numerators i.e. for 101,787,376 is 29887112

GCF of denominators i.e. for 36,90,218 is 2.

Thus, LCM of Fractions is 14943556.Finally, LCM of Fractions for 101/36, 787/90, 376/218 is 14943556.