Least Common Multiple of 516/37, 378/75, 666/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/37, 378/75, 666/348 quickly i.e. 1202796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/37, 378/75, 666/348 is 1202796.

LCM(516/37, 378/75, 666/348) = 1202796

LCM of 516/37, 378/75, 666/348

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 516/37,378/75,666/348

Given numbers are 516/37,378/75,666/348

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 516,378,666

Least Common Multiple of Numerators i.e. LCM of 516,378,666 is 1202796.

GCF of Denominators means GCF of 37,75,348 as per the given fractions.

GCF of 37,75,348 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,378,666

LCM of Fractions 516/37,378/75,666/348 is 1202796

2 516, 378, 666
3 258, 189, 333
3 86, 63, 111
86, 21, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 86 x 21 x 37 = 1202796

Least Common Multiple of 516,378,666 with GCF Formula

Least Common Multiple of 516,378,666 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 516,378,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,378,666) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(516,378,666) x common factors =6 x 18 = 108

LCM(516,378,666) = ( 516 × 378 × 666 ) / 108

LCM(516,378,666) = 129901968 / 108

LCM(516,378,666) = 1202796


Lets's calculate GCF of 37,75,348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202796/1

Therefore the LCM of Fractions 516/37,378/75,666/348 is 1202796

Greatest Common Factor of 37,75,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,75,348 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 37,75,348 . The biggest common factor number is the GCF number.
So the greatest common factor 37,75,348 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 516/37, 378/75, 666/348

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 516/37, 378/75, 666/348?

Answer: LCM of Numerators as per given numbers 516/37, 378/75, 666/348 is

LCM of Numerators i.e. for 516,378,666 is 1202796

GCF of denominators i.e. for 37,75,348 is 1.

Thus, LCM of Fractions is 1202796.Finally, LCM of Fractions for 516/37, 378/75, 666/348 is 1202796.