Least Common Multiple of 75/868, 52/494, 215/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/868, 52/494, 215/106 quickly i.e. 83850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/868, 52/494, 215/106 is 83850.

LCM(75/868, 52/494, 215/106) = 83850

LCM of 75/868, 52/494, 215/106

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 75/868,52/494,215/106

Given numbers are 75/868,52/494,215/106

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 75,52,215

Least Common Multiple of Numerators i.e. LCM of 75,52,215 is 167700.

GCF of Denominators means GCF of 868,494,106 as per the given fractions.

GCF of 868,494,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,52,215

LCM of Fractions 75/868,52/494,215/106 is 83850

5 75, 52, 215
15, 52, 43

∴ So the LCM of the given numbers is 5 x 15 x 52 x 43 = 167700

Least Common Multiple of 75,52,215 with GCF Formula

Least Common Multiple of 75,52,215 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 75,52,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,52,215) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,52,215) x common factors =1 x 5 = 5

LCM(75,52,215) = ( 75 × 52 × 215 ) / 5

LCM(75,52,215) = 838500 / 5

LCM(75,52,215) = 167700


Lets's calculate GCF of 868,494,106

2 868, 494, 106
434, 247, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167700/2

Therefore the LCM of Fractions 75/868,52/494,215/106 is 83850

Greatest Common Factor of 868,494,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,494,106 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 868,494,106 . The biggest common factor number is the GCF number.
So the greatest common factor 868,494,106 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 75/868, 52/494, 215/106

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 75/868, 52/494, 215/106?

Answer: LCM of Numerators as per given numbers 75/868, 52/494, 215/106 is

LCM of Numerators i.e. for 75,52,215 is 167700

GCF of denominators i.e. for 868,494,106 is 2.

Thus, LCM of Fractions is 83850.Finally, LCM of Fractions for 75/868, 52/494, 215/106 is 83850.