Least Common Multiple of 51/660, 72/284, 425/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/660, 72/284, 425/579 quickly i.e. 30600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/660, 72/284, 425/579 is 30600.

LCM(51/660, 72/284, 425/579) = 30600

LCM of 51/660, 72/284, 425/579

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 51/660,72/284,425/579

Given numbers are 51/660,72/284,425/579

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 51,72,425

Least Common Multiple of Numerators i.e. LCM of 51,72,425 is 30600.

GCF of Denominators means GCF of 660,284,579 as per the given fractions.

GCF of 660,284,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,72,425

LCM of Fractions 51/660,72/284,425/579 is 30600

3 51, 72, 425
17 17, 24, 425
1, 24, 25

∴ So the LCM of the given numbers is 3 x 17 x 1 x 24 x 25 = 30600

Least Common Multiple of 51,72,425 with GCF Formula

Least Common Multiple of 51,72,425 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 51,72,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,72,425) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,72,425) x common factors =1 x 51 = 51

LCM(51,72,425) = ( 51 × 72 × 425 ) / 51

LCM(51,72,425) = 1560600 / 51

LCM(51,72,425) = 30600


Lets's calculate GCF of 660,284,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30600/1

Therefore the LCM of Fractions 51/660,72/284,425/579 is 30600

Greatest Common Factor of 660,284,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,284,579 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 660,284,579 . The biggest common factor number is the GCF number.
So the greatest common factor 660,284,579 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 51/660, 72/284, 425/579

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 51/660, 72/284, 425/579?

Answer: LCM of Numerators as per given numbers 51/660, 72/284, 425/579 is

LCM of Numerators i.e. for 51,72,425 is 30600

GCF of denominators i.e. for 660,284,579 is 1.

Thus, LCM of Fractions is 30600.Finally, LCM of Fractions for 51/660, 72/284, 425/579 is 30600.