Least Common Multiple of 81/758, 70/560, 504/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/758, 70/560, 504/866 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/758, 70/560, 504/866 is 11340.

LCM(81/758, 70/560, 504/866) = 11340

LCM of 81/758, 70/560, 504/866

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 81/758,70/560,504/866

Given numbers are 81/758,70/560,504/866

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 81,70,504

Least Common Multiple of Numerators i.e. LCM of 81,70,504 is 22680.

GCF of Denominators means GCF of 758,560,866 as per the given fractions.

GCF of 758,560,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,70,504

LCM of Fractions 81/758,70/560,504/866 is 11340

2 81, 70, 504
3 81, 35, 252
3 27, 35, 84
7 9, 35, 28
9, 5, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 9 x 5 x 4 = 22680

Least Common Multiple of 81,70,504 with GCF Formula

Least Common Multiple of 81,70,504 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 81,70,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,70,504) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(81,70,504) x common factors =1 x 126 = 126

LCM(81,70,504) = ( 81 × 70 × 504 ) / 126

LCM(81,70,504) = 2857680 / 126

LCM(81,70,504) = 22680


Lets's calculate GCF of 758,560,866

2 758, 560, 866
379, 280, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22680/2

Therefore the LCM of Fractions 81/758,70/560,504/866 is 11340

Greatest Common Factor of 758,560,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,560,866 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 758,560,866 . The biggest common factor number is the GCF number.
So the greatest common factor 758,560,866 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 81/758, 70/560, 504/866

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 81/758, 70/560, 504/866?

Answer: LCM of Numerators as per given numbers 81/758, 70/560, 504/866 is

LCM of Numerators i.e. for 81,70,504 is 22680

GCF of denominators i.e. for 758,560,866 is 2.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 81/758, 70/560, 504/866 is 11340.