Least Common Multiple of 759/22, 734/81, 920/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/22, 734/81, 920/242 quickly i.e. 11142120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/22, 734/81, 920/242 is 11142120.

LCM(759/22, 734/81, 920/242) = 11142120

LCM of 759/22, 734/81, 920/242

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 759/22,734/81,920/242

Given numbers are 759/22,734/81,920/242

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 759,734,920

Least Common Multiple of Numerators i.e. LCM of 759,734,920 is 11142120.

GCF of Denominators means GCF of 22,81,242 as per the given fractions.

GCF of 22,81,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,734,920

LCM of Fractions 759/22,734/81,920/242 is 11142120

2 759, 734, 920
23 759, 367, 460
33, 367, 20

∴ So the LCM of the given numbers is 2 x 23 x 33 x 367 x 20 = 11142120

Least Common Multiple of 759,734,920 with GCF Formula

Least Common Multiple of 759,734,920 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 759,734,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,734,920) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(759,734,920) x common factors =1 x 46 = 46

LCM(759,734,920) = ( 759 × 734 × 920 ) / 46

LCM(759,734,920) = 512537520 / 46

LCM(759,734,920) = 11142120


Lets's calculate GCF of 22,81,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11142120/1

Therefore the LCM of Fractions 759/22,734/81,920/242 is 11142120

Greatest Common Factor of 22,81,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,81,242 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 22,81,242 . The biggest common factor number is the GCF number.
So the greatest common factor 22,81,242 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 759/22, 734/81, 920/242

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 759/22, 734/81, 920/242?

Answer: LCM of Numerators as per given numbers 759/22, 734/81, 920/242 is

LCM of Numerators i.e. for 759,734,920 is 11142120

GCF of denominators i.e. for 22,81,242 is 1.

Thus, LCM of Fractions is 11142120.Finally, LCM of Fractions for 759/22, 734/81, 920/242 is 11142120.