Least Common Multiple of 8/872, 68/275, 63/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/872, 68/275, 63/760 quickly i.e. 8568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/872, 68/275, 63/760 is 8568.

LCM(8/872, 68/275, 63/760) = 8568

LCM of 8/872, 68/275, 63/760

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 8/872,68/275,63/760

Given numbers are 8/872,68/275,63/760

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 8,68,63

Least Common Multiple of Numerators i.e. LCM of 8,68,63 is 8568.

GCF of Denominators means GCF of 872,275,760 as per the given fractions.

GCF of 872,275,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,68,63

LCM of Fractions 8/872,68/275,63/760 is 8568

2 8, 68, 63
2 4, 34, 63
2, 17, 63

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 63 = 8568

Least Common Multiple of 8,68,63 with GCF Formula

Least Common Multiple of 8,68,63 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 8,68,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,68,63) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,68,63) x common factors =1 x 4 = 4

LCM(8,68,63) = ( 8 × 68 × 63 ) / 4

LCM(8,68,63) = 34272 / 4

LCM(8,68,63) = 8568


Lets's calculate GCF of 872,275,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8568/1

Therefore the LCM of Fractions 8/872,68/275,63/760 is 8568

Greatest Common Factor of 872,275,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,275,760 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 872,275,760 . The biggest common factor number is the GCF number.
So the greatest common factor 872,275,760 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 8/872, 68/275, 63/760

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 8/872, 68/275, 63/760?

Answer: LCM of Numerators as per given numbers 8/872, 68/275, 63/760 is

LCM of Numerators i.e. for 8,68,63 is 8568

GCF of denominators i.e. for 872,275,760 is 1.

Thus, LCM of Fractions is 8568.Finally, LCM of Fractions for 8/872, 68/275, 63/760 is 8568.