Least Common Multiple of 816/32, 753/36, 968/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/32, 753/36, 968/76 quickly i.e. 6195684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/32, 753/36, 968/76 is 6195684.

LCM(816/32, 753/36, 968/76) = 6195684

LCM of 816/32, 753/36, 968/76

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 816/32,753/36,968/76

Given numbers are 816/32,753/36,968/76

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 816,753,968

Least Common Multiple of Numerators i.e. LCM of 816,753,968 is 24782736.

GCF of Denominators means GCF of 32,36,76 as per the given fractions.

GCF of 32,36,76 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,753,968

LCM of Fractions 816/32,753/36,968/76 is 6195684

2 816, 753, 968
2 408, 753, 484
2 204, 753, 242
3 102, 753, 121
34, 251, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 34 x 251 x 121 = 24782736

Least Common Multiple of 816,753,968 with GCF Formula

Least Common Multiple of 816,753,968 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 816,753,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,753,968) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(816,753,968) x common factors =1 x 24 = 24

LCM(816,753,968) = ( 816 × 753 × 968 ) / 24

LCM(816,753,968) = 594785664 / 24

LCM(816,753,968) = 24782736


Lets's calculate GCF of 32,36,76

2 32, 36, 76
2 16, 18, 38
8, 9, 19

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24782736/4

Therefore the LCM of Fractions 816/32,753/36,968/76 is 6195684

Greatest Common Factor of 32,36,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,36,76 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 32,36,76 . The biggest common factor number is the GCF number.
So the greatest common factor 32,36,76 is 4.


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 816/32, 753/36, 968/76

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 816/32, 753/36, 968/76?

Answer: LCM of Numerators as per given numbers 816/32, 753/36, 968/76 is

LCM of Numerators i.e. for 816,753,968 is 24782736

GCF of denominators i.e. for 32,36,76 is 4.

Thus, LCM of Fractions is 6195684.Finally, LCM of Fractions for 816/32, 753/36, 968/76 is 6195684.