Least Common Multiple of 92/891, 3136/5391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/891, 3136/5391 quickly i.e. 72128/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/891, 3136/5391 is 72128/9.

LCM(92/891, 3136/5391) = 72128/9

LCM of 92/891, 3136/5391

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 92/891,3136/5391

Given numbers are 92/891,3136/5391

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 92,3136

Least Common Multiple of Numerators i.e. LCM of 92,3136 is 72128.

GCF of Denominators means GCF of 891,5391 as per the given fractions.

GCF of 891,5391 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,3136

LCM of Fractions 92/891,3136/5391 is 72128/9

2 92, 3136
2 46, 1568
23, 784

∴ So the LCM of the given numbers is 2 x 2 x 23 x 784 = 72128

Least Common Multiple of 92,3136 with GCF Formula

Least Common Multiple of 92,3136 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 92,3136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,3136) = 4

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

GCF(92,3136) x common factors =4 x 1 = 4

LCM(92,3136) = ( 92 × 3136 ) / 4

LCM(92,3136) = 288512 / 4

LCM(92,3136) = 72128


Lets's calculate GCF of 891,5391

3 891, 5391
3 297, 1797
99, 599

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72128/9

Therefore the LCM of Fractions 92/891,3136/5391 is 72128/9

Greatest Common Factor of 891,5391 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,5391 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 5391

List of positive integer factors of 5391 that divides 5391 without a remainder.

1,3,9,599,1797,5391

Greatest Common Factor

We found the factors 891,5391 . The biggest common factor number is the GCF number.
So the greatest common factor 891,5391 is 9.


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 92/891, 3136/5391

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 92/891, 3136/5391?

Answer: LCM of Numerators as per given numbers 92/891, 3136/5391 is

LCM of Numerators i.e. for 92,3136 is 72128

GCF of denominators i.e. for 891,5391 is 9.

Thus, LCM of Fractions is 72128/9.Finally, LCM of Fractions for 92/891, 3136/5391 is 72128/9.