Least Common Multiple of 96/86, 600/78, 135/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/86, 600/78, 135/892 quickly i.e. 10800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/86, 600/78, 135/892 is 10800.

LCM(96/86, 600/78, 135/892) = 10800

LCM of 96/86, 600/78, 135/892

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 96/86,600/78,135/892

Given numbers are 96/86,600/78,135/892

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 96,600,135

Least Common Multiple of Numerators i.e. LCM of 96,600,135 is 21600.

GCF of Denominators means GCF of 86,78,892 as per the given fractions.

GCF of 86,78,892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,600,135

LCM of Fractions 96/86,600/78,135/892 is 10800

2 96, 600, 135
2 48, 300, 135
2 24, 150, 135
3 12, 75, 135
5 4, 25, 45
4, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 5 x 9 = 21600

Least Common Multiple of 96,600,135 with GCF Formula

Least Common Multiple of 96,600,135 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 96,600,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,600,135) = 3

common factors(in case of two or more numbers have common factors) = 120

GCF(96,600,135) x common factors =3 x 120 = 360

LCM(96,600,135) = ( 96 × 600 × 135 ) / 360

LCM(96,600,135) = 7776000 / 360

LCM(96,600,135) = 21600


Lets's calculate GCF of 86,78,892

2 86, 78, 892
43, 39, 446

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/2

Therefore the LCM of Fractions 96/86,600/78,135/892 is 10800

Greatest Common Factor of 86,78,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,78,892 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

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 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 86,78,892 . The biggest common factor number is the GCF number.
So the greatest common factor 86,78,892 is 2.


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 96/86, 600/78, 135/892

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 96/86, 600/78, 135/892?

Answer: LCM of Numerators as per given numbers 96/86, 600/78, 135/892 is

LCM of Numerators i.e. for 96,600,135 is 21600

GCF of denominators i.e. for 86,78,892 is 2.

Thus, LCM of Fractions is 10800.Finally, LCM of Fractions for 96/86, 600/78, 135/892 is 10800.