Least Common Multiple of 149/91, 731/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 149/91, 731/911 quickly i.e. 108919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/91, 731/911 is 108919.

LCM(149/91, 731/911) = 108919

LCM of 149/91, 731/911

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 149/91,731/911

Given numbers are 149/91,731/911

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 149,731

Least Common Multiple of Numerators i.e. LCM of 149,731 is 108919.

GCF of Denominators means GCF of 91,911 as per the given fractions.

GCF of 91,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,731

LCM of Fractions 149/91,731/911 is 108919

Given numbers has no common factors except 1. So, there LCM is their product i.e 108919

Least Common Multiple of 149,731 with GCF Formula

Least Common Multiple of 149,731 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 149,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,731) = 1

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

GCF(149,731) x common factors =1 x 1 = 1

LCM(149,731) = ( 149 × 731 ) / 1

LCM(149,731) = 108919 / 1

LCM(149,731) = 108919


Lets's calculate GCF of 91,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108919/1

Therefore the LCM of Fractions 149/91,731/911 is 108919

Greatest Common Factor of 91,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,911 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 91,911 . The biggest common factor number is the GCF number.
So the greatest common factor 91,911 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 149/91, 731/911

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 149/91, 731/911?

Answer: LCM of Numerators as per given numbers 149/91, 731/911 is

LCM of Numerators i.e. for 149,731 is 108919

GCF of denominators i.e. for 91,911 is 1.

Thus, LCM of Fractions is 108919.Finally, LCM of Fractions for 149/91, 731/911 is 108919.