Least Common Multiple of 516/76, 723/10, 912/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/76, 723/10, 912/444 quickly i.e. 4725528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/76, 723/10, 912/444 is 4725528.

LCM(516/76, 723/10, 912/444) = 4725528

LCM of 516/76, 723/10, 912/444

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 516/76,723/10,912/444

Given numbers are 516/76,723/10,912/444

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 516,723,912

Least Common Multiple of Numerators i.e. LCM of 516,723,912 is 9451056.

GCF of Denominators means GCF of 76,10,444 as per the given fractions.

GCF of 76,10,444 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,723,912

LCM of Fractions 516/76,723/10,912/444 is 4725528

2 516, 723, 912
2 258, 723, 456
3 129, 723, 228
43, 241, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 241 x 76 = 9451056

Least Common Multiple of 516,723,912 with GCF Formula

Least Common Multiple of 516,723,912 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 516,723,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,723,912) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(516,723,912) x common factors =3 x 12 = 36

LCM(516,723,912) = ( 516 × 723 × 912 ) / 36

LCM(516,723,912) = 340238016 / 36

LCM(516,723,912) = 9451056


Lets's calculate GCF of 76,10,444

2 76, 10, 444
38, 5, 222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9451056/2

Therefore the LCM of Fractions 516/76,723/10,912/444 is 4725528

Greatest Common Factor of 76,10,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,10,444 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 76,10,444 . The biggest common factor number is the GCF number.
So the greatest common factor 76,10,444 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 516/76, 723/10, 912/444

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 516/76, 723/10, 912/444?

Answer: LCM of Numerators as per given numbers 516/76, 723/10, 912/444 is

LCM of Numerators i.e. for 516,723,912 is 9451056

GCF of denominators i.e. for 76,10,444 is 2.

Thus, LCM of Fractions is 4725528.Finally, LCM of Fractions for 516/76, 723/10, 912/444 is 4725528.