Least Common Multiple of 795/680, 868/187, 152/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/680, 868/187, 152/320 quickly i.e. 26222280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/680, 868/187, 152/320 is 26222280.

LCM(795/680, 868/187, 152/320) = 26222280

LCM of 795/680, 868/187, 152/320

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 795/680,868/187,152/320

Given numbers are 795/680,868/187,152/320

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 795,868,152

Least Common Multiple of Numerators i.e. LCM of 795,868,152 is 26222280.

GCF of Denominators means GCF of 680,187,320 as per the given fractions.

GCF of 680,187,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,868,152

LCM of Fractions 795/680,868/187,152/320 is 26222280

2 795, 868, 152
2 795, 434, 76
795, 217, 38

∴ So the LCM of the given numbers is 2 x 2 x 795 x 217 x 38 = 26222280

Least Common Multiple of 795,868,152 with GCF Formula

Least Common Multiple of 795,868,152 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 795,868,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,868,152) = 1

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

GCF(795,868,152) x common factors =1 x 4 = 4

LCM(795,868,152) = ( 795 × 868 × 152 ) / 4

LCM(795,868,152) = 104889120 / 4

LCM(795,868,152) = 26222280


Lets's calculate GCF of 680,187,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26222280/1

Therefore the LCM of Fractions 795/680,868/187,152/320 is 26222280

Greatest Common Factor of 680,187,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,187,320 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 680,187,320 . The biggest common factor number is the GCF number.
So the greatest common factor 680,187,320 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 795/680, 868/187, 152/320

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 795/680, 868/187, 152/320?

Answer: LCM of Numerators as per given numbers 795/680, 868/187, 152/320 is

LCM of Numerators i.e. for 795,868,152 is 26222280

GCF of denominators i.e. for 680,187,320 is 1.

Thus, LCM of Fractions is 26222280.Finally, LCM of Fractions for 795/680, 868/187, 152/320 is 26222280.