Least Common Multiple of 516/80, 345/49, 812/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/80, 345/49, 812/912 quickly i.e. 12046020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/80, 345/49, 812/912 is 12046020.

LCM(516/80, 345/49, 812/912) = 12046020

LCM of 516/80, 345/49, 812/912

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 516/80,345/49,812/912

Given numbers are 516/80,345/49,812/912

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 516,345,812

Least Common Multiple of Numerators i.e. LCM of 516,345,812 is 12046020.

GCF of Denominators means GCF of 80,49,912 as per the given fractions.

GCF of 80,49,912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,345,812

LCM of Fractions 516/80,345/49,812/912 is 12046020

2 516, 345, 812
2 258, 345, 406
3 129, 345, 203
43, 115, 203

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 115 x 203 = 12046020

Least Common Multiple of 516,345,812 with GCF Formula

Least Common Multiple of 516,345,812 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 516,345,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,345,812) = 1

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

GCF(516,345,812) x common factors =1 x 12 = 12

LCM(516,345,812) = ( 516 × 345 × 812 ) / 12

LCM(516,345,812) = 144552240 / 12

LCM(516,345,812) = 12046020


Lets's calculate GCF of 80,49,912

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12046020/1

Therefore the LCM of Fractions 516/80,345/49,812/912 is 12046020

Greatest Common Factor of 80,49,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,49,912 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 80,49,912 . The biggest common factor number is the GCF number.
So the greatest common factor 80,49,912 is 1.


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 516/80, 345/49, 812/912

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 516/80, 345/49, 812/912?

Answer: LCM of Numerators as per given numbers 516/80, 345/49, 812/912 is

LCM of Numerators i.e. for 516,345,812 is 12046020

GCF of denominators i.e. for 80,49,912 is 1.

Thus, LCM of Fractions is 12046020.Finally, LCM of Fractions for 516/80, 345/49, 812/912 is 12046020.