Least Common Multiple of 868/268, 977/441, 795/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/268, 977/441, 795/722 quickly i.e. 674188620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/268, 977/441, 795/722 is 674188620.

LCM(868/268, 977/441, 795/722) = 674188620

LCM of 868/268, 977/441, 795/722

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 868/268,977/441,795/722

Given numbers are 868/268,977/441,795/722

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 868,977,795

Least Common Multiple of Numerators i.e. LCM of 868,977,795 is 674188620.

GCF of Denominators means GCF of 268,441,722 as per the given fractions.

GCF of 268,441,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,977,795

LCM of Fractions 868/268,977/441,795/722 is 674188620

Given numbers has no common factors except 1. So, there LCM is their product i.e 674188620

Least Common Multiple of 868,977,795 with GCF Formula

Least Common Multiple of 868,977,795 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 868,977,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,977,795) = 1

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

GCF(868,977,795) x common factors =1 x 1 = 1

LCM(868,977,795) = ( 868 × 977 × 795 ) / 1

LCM(868,977,795) = 674188620 / 1

LCM(868,977,795) = 674188620


Lets's calculate GCF of 268,441,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674188620/1

Therefore the LCM of Fractions 868/268,977/441,795/722 is 674188620

Greatest Common Factor of 268,441,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,441,722 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 268,441,722 . The biggest common factor number is the GCF number.
So the greatest common factor 268,441,722 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 868/268, 977/441, 795/722

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 868/268, 977/441, 795/722?

Answer: LCM of Numerators as per given numbers 868/268, 977/441, 795/722 is

LCM of Numerators i.e. for 868,977,795 is 674188620

GCF of denominators i.e. for 268,441,722 is 1.

Thus, LCM of Fractions is 674188620.Finally, LCM of Fractions for 868/268, 977/441, 795/722 is 674188620.