Least Common Multiple of 91/242, 442/270, 915/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/242, 442/270, 915/758 quickly i.e. 1415505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/242, 442/270, 915/758 is 1415505.

LCM(91/242, 442/270, 915/758) = 1415505

LCM of 91/242, 442/270, 915/758

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 91/242,442/270,915/758

Given numbers are 91/242,442/270,915/758

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 91,442,915

Least Common Multiple of Numerators i.e. LCM of 91,442,915 is 2831010.

GCF of Denominators means GCF of 242,270,758 as per the given fractions.

GCF of 242,270,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,442,915

LCM of Fractions 91/242,442/270,915/758 is 1415505

13 91, 442, 915
7, 34, 915

∴ So the LCM of the given numbers is 13 x 7 x 34 x 915 = 2831010

Least Common Multiple of 91,442,915 with GCF Formula

Least Common Multiple of 91,442,915 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 91,442,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,442,915) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,442,915) x common factors =1 x 13 = 13

LCM(91,442,915) = ( 91 × 442 × 915 ) / 13

LCM(91,442,915) = 36803130 / 13

LCM(91,442,915) = 2831010


Lets's calculate GCF of 242,270,758

2 242, 270, 758
121, 135, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2831010/2

Therefore the LCM of Fractions 91/242,442/270,915/758 is 1415505

Greatest Common Factor of 242,270,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,270,758 By Matching Biggest Common Factor Method

Factors of 242

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

1,2,11,22,121,242

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 758

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

1,2,379,758

Greatest Common Factor

We found the factors 242,270,758 . The biggest common factor number is the GCF number.
So the greatest common factor 242,270,758 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 91/242, 442/270, 915/758

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 91/242, 442/270, 915/758?

Answer: LCM of Numerators as per given numbers 91/242, 442/270, 915/758 is

LCM of Numerators i.e. for 91,442,915 is 2831010

GCF of denominators i.e. for 242,270,758 is 2.

Thus, LCM of Fractions is 1415505.Finally, LCM of Fractions for 91/242, 442/270, 915/758 is 1415505.