Least Common Multiple of 51/78, 87/96, 64/81, 72/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/78, 87/96, 64/81, 72/894 quickly i.e. 94656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/78, 87/96, 64/81, 72/894 is 94656.

LCM(51/78, 87/96, 64/81, 72/894) = 94656

LCM of 51/78, 87/96, 64/81, 72/894

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 51/78,87/96,64/81,72/894

Given numbers are 51/78,87/96,64/81,72/894

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 51,87,64,72

Least Common Multiple of Numerators i.e. LCM of 51,87,64,72 is 283968.

GCF of Denominators means GCF of 78,96,81,894 as per the given fractions.

GCF of 78,96,81,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,87,64,72

LCM of Fractions 51/78,87/96,64/81,72/894 is 94656

2 51, 87, 64, 72
2 51, 87, 32, 36
2 51, 87, 16, 18
3 51, 87, 8, 9
17, 29, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 29 x 8 x 3 = 283968

Least Common Multiple of 51,87,64,72 with GCF Formula

Least Common Multiple of 51,87,64,72 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 51,87,64,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,87,64,72) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(51,87,64,72) x common factors =1 x 72 = 72

LCM(51,87,64,72) = ( 51 × 87 × 64 × 72 ) / 72

LCM(51,87,64,72) = 20445696 / 72

LCM(51,87,64,72) = 283968


Lets's calculate GCF of 78,96,81,894

3 78, 96, 81, 894
26, 32, 27, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283968/3

Therefore the LCM of Fractions 51/78,87/96,64/81,72/894 is 94656

Greatest Common Factor of 78,96,81,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,96,81,894 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 78,96,81,894 . The biggest common factor number is the GCF number.
So the greatest common factor 78,96,81,894 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 51/78, 87/96, 64/81, 72/894

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 51/78, 87/96, 64/81, 72/894?

Answer: LCM of Numerators as per given numbers 51/78, 87/96, 64/81, 72/894 is

LCM of Numerators i.e. for 51,87,64,72 is 283968

GCF of denominators i.e. for 78,96,81,894 is 3.

Thus, LCM of Fractions is 94656.Finally, LCM of Fractions for 51/78, 87/96, 64/81, 72/894 is 94656.