Least Common Multiple of 468/91, 992/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/91, 992/468 quickly i.e. 8928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/91, 992/468 is 8928.

LCM(468/91, 992/468) = 8928

LCM of 468/91, 992/468

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 468/91,992/468

Given numbers are 468/91,992/468

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 468,992

Least Common Multiple of Numerators i.e. LCM of 468,992 is 116064.

GCF of Denominators means GCF of 91,468 as per the given fractions.

GCF of 91,468 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,992

LCM of Fractions 468/91,992/468 is 8928

2 468, 992
2 234, 496
117, 248

∴ So the LCM of the given numbers is 2 x 2 x 117 x 248 = 116064

Least Common Multiple of 468,992 with GCF Formula

Least Common Multiple of 468,992 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 468,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,992) = 4

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

GCF(468,992) x common factors =4 x 1 = 4

LCM(468,992) = ( 468 × 992 ) / 4

LCM(468,992) = 464256 / 4

LCM(468,992) = 116064


Lets's calculate GCF of 91,468

13 91, 468
7, 36

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116064/13

Therefore the LCM of Fractions 468/91,992/468 is 8928

Greatest Common Factor of 91,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,468 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 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 91,468 . The biggest common factor number is the GCF number.
So the greatest common factor 91,468 is 13.


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 468/91, 992/468

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 468/91, 992/468?

Answer: LCM of Numerators as per given numbers 468/91, 992/468 is

LCM of Numerators i.e. for 468,992 is 116064

GCF of denominators i.e. for 91,468 is 13.

Thus, LCM of Fractions is 8928.Finally, LCM of Fractions for 468/91, 992/468 is 8928.