Least Common Multiple of 91/861, 598/222, 268/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/861, 598/222, 268/624 quickly i.e. 560924/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/861, 598/222, 268/624 is 560924/3.

LCM(91/861, 598/222, 268/624) = 560924/3

LCM of 91/861, 598/222, 268/624

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 91/861,598/222,268/624

Given numbers are 91/861,598/222,268/624

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 91,598,268

Least Common Multiple of Numerators i.e. LCM of 91,598,268 is 560924.

GCF of Denominators means GCF of 861,222,624 as per the given fractions.

GCF of 861,222,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,598,268

LCM of Fractions 91/861,598/222,268/624 is 560924/3

2 91, 598, 268
13 91, 299, 134
7, 23, 134

∴ So the LCM of the given numbers is 2 x 13 x 7 x 23 x 134 = 560924

Least Common Multiple of 91,598,268 with GCF Formula

Least Common Multiple of 91,598,268 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 91,598,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,598,268) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(91,598,268) x common factors =1 x 26 = 26

LCM(91,598,268) = ( 91 × 598 × 268 ) / 26

LCM(91,598,268) = 14584024 / 26

LCM(91,598,268) = 560924


Lets's calculate GCF of 861,222,624

3 861, 222, 624
287, 74, 208

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560924/3

Therefore the LCM of Fractions 91/861,598/222,268/624 is 560924/3

Greatest Common Factor of 861,222,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,222,624 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 861,222,624 . The biggest common factor number is the GCF number.
So the greatest common factor 861,222,624 is 3.


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 91/861, 598/222, 268/624

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 91/861, 598/222, 268/624?

Answer: LCM of Numerators as per given numbers 91/861, 598/222, 268/624 is

LCM of Numerators i.e. for 91,598,268 is 560924

GCF of denominators i.e. for 861,222,624 is 3.

Thus, LCM of Fractions is 560924/3.Finally, LCM of Fractions for 91/861, 598/222, 268/624 is 560924/3.