Least Common Multiple of 51/639, 393/345, 420/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/639, 393/345, 420/561 quickly i.e. 311780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/639, 393/345, 420/561 is 311780.

LCM(51/639, 393/345, 420/561) = 311780

LCM of 51/639, 393/345, 420/561

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 51/639,393/345,420/561

Given numbers are 51/639,393/345,420/561

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 51,393,420

Least Common Multiple of Numerators i.e. LCM of 51,393,420 is 935340.

GCF of Denominators means GCF of 639,345,561 as per the given fractions.

GCF of 639,345,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,393,420

LCM of Fractions 51/639,393/345,420/561 is 311780

3 51, 393, 420
17, 131, 140

∴ So the LCM of the given numbers is 3 x 17 x 131 x 140 = 935340

Least Common Multiple of 51,393,420 with GCF Formula

Least Common Multiple of 51,393,420 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 51,393,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,393,420) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(51,393,420) x common factors =3 x 3 = 9

LCM(51,393,420) = ( 51 × 393 × 420 ) / 9

LCM(51,393,420) = 8418060 / 9

LCM(51,393,420) = 935340


Lets's calculate GCF of 639,345,561

3 639, 345, 561
213, 115, 187

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 935340/3

Therefore the LCM of Fractions 51/639,393/345,420/561 is 311780

Greatest Common Factor of 639,345,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,345,561 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 639,345,561 . The biggest common factor number is the GCF number.
So the greatest common factor 639,345,561 is 3.


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 51/639, 393/345, 420/561

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 51/639, 393/345, 420/561?

Answer: LCM of Numerators as per given numbers 51/639, 393/345, 420/561 is

LCM of Numerators i.e. for 51,393,420 is 935340

GCF of denominators i.e. for 639,345,561 is 3.

Thus, LCM of Fractions is 311780.Finally, LCM of Fractions for 51/639, 393/345, 420/561 is 311780.