Least Common Multiple of 6/565, 30/646, 51/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/565, 30/646, 51/666 quickly i.e. 510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/565, 30/646, 51/666 is 510.

LCM(6/565, 30/646, 51/666) = 510

LCM of 6/565, 30/646, 51/666

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 6/565,30/646,51/666

Given numbers are 6/565,30/646,51/666

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 6,30,51

Least Common Multiple of Numerators i.e. LCM of 6,30,51 is 510.

GCF of Denominators means GCF of 565,646,666 as per the given fractions.

GCF of 565,646,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,30,51

LCM of Fractions 6/565,30/646,51/666 is 510

2 6, 30, 51
3 3, 15, 51
1, 5, 17

∴ So the LCM of the given numbers is 2 x 3 x 1 x 5 x 17 = 510

Least Common Multiple of 6,30,51 with GCF Formula

Least Common Multiple of 6,30,51 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 6,30,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,30,51) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(6,30,51) x common factors =3 x 6 = 18

LCM(6,30,51) = ( 6 × 30 × 51 ) / 18

LCM(6,30,51) = 9180 / 18

LCM(6,30,51) = 510


Lets's calculate GCF of 565,646,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510/1

Therefore the LCM of Fractions 6/565,30/646,51/666 is 510

Greatest Common Factor of 565,646,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,646,666 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 565,646,666 . The biggest common factor number is the GCF number.
So the greatest common factor 565,646,666 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 6/565, 30/646, 51/666

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 6/565, 30/646, 51/666?

Answer: LCM of Numerators as per given numbers 6/565, 30/646, 51/666 is

LCM of Numerators i.e. for 6,30,51 is 510

GCF of denominators i.e. for 565,646,666 is 1.

Thus, LCM of Fractions is 510.Finally, LCM of Fractions for 6/565, 30/646, 51/666 is 510.