Least Common Multiple of 65/91, 261/65, 726/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/91, 261/65, 726/367 quickly i.e. 4105530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/91, 261/65, 726/367 is 4105530.

LCM(65/91, 261/65, 726/367) = 4105530

LCM of 65/91, 261/65, 726/367

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 65/91,261/65,726/367

Given numbers are 65/91,261/65,726/367

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 65,261,726

Least Common Multiple of Numerators i.e. LCM of 65,261,726 is 4105530.

GCF of Denominators means GCF of 91,65,367 as per the given fractions.

GCF of 91,65,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,261,726

LCM of Fractions 65/91,261/65,726/367 is 4105530

3 65, 261, 726
65, 87, 242

∴ So the LCM of the given numbers is 3 x 65 x 87 x 242 = 4105530

Least Common Multiple of 65,261,726 with GCF Formula

Least Common Multiple of 65,261,726 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 65,261,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,261,726) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(65,261,726) x common factors =1 x 3 = 3

LCM(65,261,726) = ( 65 × 261 × 726 ) / 3

LCM(65,261,726) = 12316590 / 3

LCM(65,261,726) = 4105530


Lets's calculate GCF of 91,65,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4105530/1

Therefore the LCM of Fractions 65/91,261/65,726/367 is 4105530

Greatest Common Factor of 91,65,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,65,367 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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 91,65,367 . The biggest common factor number is the GCF number.
So the greatest common factor 91,65,367 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 65/91, 261/65, 726/367

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 65/91, 261/65, 726/367?

Answer: LCM of Numerators as per given numbers 65/91, 261/65, 726/367 is

LCM of Numerators i.e. for 65,261,726 is 4105530

GCF of denominators i.e. for 91,65,367 is 1.

Thus, LCM of Fractions is 4105530.Finally, LCM of Fractions for 65/91, 261/65, 726/367 is 4105530.