Least Common Multiple of 472/378, 212/546, 668/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/378, 212/546, 668/727 quickly i.e. 4177672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/378, 212/546, 668/727 is 4177672.

LCM(472/378, 212/546, 668/727) = 4177672

LCM of 472/378, 212/546, 668/727

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 472/378,212/546,668/727

Given numbers are 472/378,212/546,668/727

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 472,212,668

Least Common Multiple of Numerators i.e. LCM of 472,212,668 is 4177672.

GCF of Denominators means GCF of 378,546,727 as per the given fractions.

GCF of 378,546,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,212,668

LCM of Fractions 472/378,212/546,668/727 is 4177672

2 472, 212, 668
2 236, 106, 334
118, 53, 167

∴ So the LCM of the given numbers is 2 x 2 x 118 x 53 x 167 = 4177672

Least Common Multiple of 472,212,668 with GCF Formula

Least Common Multiple of 472,212,668 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 472,212,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,212,668) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(472,212,668) x common factors =4 x 4 = 16

LCM(472,212,668) = ( 472 × 212 × 668 ) / 16

LCM(472,212,668) = 66842752 / 16

LCM(472,212,668) = 4177672


Lets's calculate GCF of 378,546,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4177672/1

Therefore the LCM of Fractions 472/378,212/546,668/727 is 4177672

Greatest Common Factor of 378,546,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,546,727 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 378,546,727 . The biggest common factor number is the GCF number.
So the greatest common factor 378,546,727 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 472/378, 212/546, 668/727

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 472/378, 212/546, 668/727?

Answer: LCM of Numerators as per given numbers 472/378, 212/546, 668/727 is

LCM of Numerators i.e. for 472,212,668 is 4177672

GCF of denominators i.e. for 378,546,727 is 1.

Thus, LCM of Fractions is 4177672.Finally, LCM of Fractions for 472/378, 212/546, 668/727 is 4177672.