Least Common Multiple of 82/960, 8891/2496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/960, 8891/2496 quickly i.e. 729062/192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/960, 8891/2496 is 729062/192.

LCM(82/960, 8891/2496) = 729062/192

LCM of 82/960, 8891/2496

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 82/960,8891/2496

Given numbers are 82/960,8891/2496

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 82,8891

Least Common Multiple of Numerators i.e. LCM of 82,8891 is 729062.

GCF of Denominators means GCF of 960,2496 as per the given fractions.

GCF of 960,2496 is 192 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,8891

LCM of Fractions 82/960,8891/2496 is 729062/192

Given numbers has no common factors except 1. So, there LCM is their product i.e 729062

Least Common Multiple of 82,8891 with GCF Formula

Least Common Multiple of 82,8891 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 82,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,8891) = 1

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

GCF(82,8891) x common factors =1 x 1 = 1

LCM(82,8891) = ( 82 × 8891 ) / 1

LCM(82,8891) = 729062 / 1

LCM(82,8891) = 729062


Lets's calculate GCF of 960,2496

2 960, 2496
2 480, 1248
2 240, 624
2 120, 312
2 60, 156
2 30, 78
3 15, 39
5, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729062/192

Therefore the LCM of Fractions 82/960,8891/2496 is 729062/192

Greatest Common Factor of 960,2496 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,2496 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 2496

List of positive integer factors of 2496 that divides 2496 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496

Greatest Common Factor

We found the factors 960,2496 . The biggest common factor number is the GCF number.
So the greatest common factor 960,2496 is 192.


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 82/960, 8891/2496

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 82/960, 8891/2496?

Answer: LCM of Numerators as per given numbers 82/960, 8891/2496 is

LCM of Numerators i.e. for 82,8891 is 729062

GCF of denominators i.e. for 960,2496 is 192.

Thus, LCM of Fractions is 729062/192.Finally, LCM of Fractions for 82/960, 8891/2496 is 729062/192.