Least Common Multiple of 6726/30, 5655/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6726/30, 5655/610 quickly i.e. 1267851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6726/30, 5655/610 is 1267851.

LCM(6726/30, 5655/610) = 1267851

LCM of 6726/30, 5655/610

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 6726/30,5655/610

Given numbers are 6726/30,5655/610

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 6726,5655

Least Common Multiple of Numerators i.e. LCM of 6726,5655 is 12678510.

GCF of Denominators means GCF of 30,610 as per the given fractions.

GCF of 30,610 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6726,5655

LCM of Fractions 6726/30,5655/610 is 1267851

3 6726, 5655
2242, 1885

∴ So the LCM of the given numbers is 3 x 2242 x 1885 = 12678510

Least Common Multiple of 6726,5655 with GCF Formula

Least Common Multiple of 6726,5655 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 6726,5655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6726,5655) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(6726,5655) x common factors =3 x 1 = 3

LCM(6726,5655) = ( 6726 × 5655 ) / 3

LCM(6726,5655) = 38035530 / 3

LCM(6726,5655) = 12678510


Lets's calculate GCF of 30,610

2 30, 610
5 15, 305
3, 61

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12678510/10

Therefore the LCM of Fractions 6726/30,5655/610 is 1267851

Greatest Common Factor of 30,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,610 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 30,610 . The biggest common factor number is the GCF number.
So the greatest common factor 30,610 is 10.


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 6726/30, 5655/610

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 6726/30, 5655/610?

Answer: LCM of Numerators as per given numbers 6726/30, 5655/610 is

LCM of Numerators i.e. for 6726,5655 is 12678510

GCF of denominators i.e. for 30,610 is 10.

Thus, LCM of Fractions is 1267851.Finally, LCM of Fractions for 6726/30, 5655/610 is 1267851.