Least Common Multiple of 15/261, 6754/9715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/261, 6754/9715 quickly i.e. 101310/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/261, 6754/9715 is 101310/29.

LCM(15/261, 6754/9715) = 101310/29

LCM of 15/261, 6754/9715

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 15/261,6754/9715

Given numbers are 15/261,6754/9715

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 15,6754

Least Common Multiple of Numerators i.e. LCM of 15,6754 is 101310.

GCF of Denominators means GCF of 261,9715 as per the given fractions.

GCF of 261,9715 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,6754

LCM of Fractions 15/261,6754/9715 is 101310/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 101310

Least Common Multiple of 15,6754 with GCF Formula

Least Common Multiple of 15,6754 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 15,6754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,6754) = 1

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

GCF(15,6754) x common factors =1 x 1 = 1

LCM(15,6754) = ( 15 × 6754 ) / 1

LCM(15,6754) = 101310 / 1

LCM(15,6754) = 101310


Lets's calculate GCF of 261,9715

29 261, 9715
9, 335

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101310/29

Therefore the LCM of Fractions 15/261,6754/9715 is 101310/29

Greatest Common Factor of 261,9715 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,9715 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 9715

List of positive integer factors of 9715 that divides 9715 without a remainder.

1,5,29,67,145,335,1943,9715

Greatest Common Factor

We found the factors 261,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 261,9715 is 29.


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 15/261, 6754/9715

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 15/261, 6754/9715?

Answer: LCM of Numerators as per given numbers 15/261, 6754/9715 is

LCM of Numerators i.e. for 15,6754 is 101310

GCF of denominators i.e. for 261,9715 is 29.

Thus, LCM of Fractions is 101310/29.Finally, LCM of Fractions for 15/261, 6754/9715 is 101310/29.