Least Common Multiple of 538/81, 260/66, 699/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/81, 260/66, 699/679 quickly i.e. 48888060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/81, 260/66, 699/679 is 48888060.

LCM(538/81, 260/66, 699/679) = 48888060

LCM of 538/81, 260/66, 699/679

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 538/81,260/66,699/679

Given numbers are 538/81,260/66,699/679

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 538,260,699

Least Common Multiple of Numerators i.e. LCM of 538,260,699 is 48888060.

GCF of Denominators means GCF of 81,66,679 as per the given fractions.

GCF of 81,66,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,260,699

LCM of Fractions 538/81,260/66,699/679 is 48888060

2 538, 260, 699
269, 130, 699

∴ So the LCM of the given numbers is 2 x 269 x 130 x 699 = 48888060

Least Common Multiple of 538,260,699 with GCF Formula

Least Common Multiple of 538,260,699 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 538,260,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,260,699) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(538,260,699) x common factors =1 x 2 = 2

LCM(538,260,699) = ( 538 × 260 × 699 ) / 2

LCM(538,260,699) = 97776120 / 2

LCM(538,260,699) = 48888060


Lets's calculate GCF of 81,66,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48888060/1

Therefore the LCM of Fractions 538/81,260/66,699/679 is 48888060

Greatest Common Factor of 81,66,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,66,679 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 81,66,679 . The biggest common factor number is the GCF number.
So the greatest common factor 81,66,679 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 538/81, 260/66, 699/679

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 538/81, 260/66, 699/679?

Answer: LCM of Numerators as per given numbers 538/81, 260/66, 699/679 is

LCM of Numerators i.e. for 538,260,699 is 48888060

GCF of denominators i.e. for 81,66,679 is 1.

Thus, LCM of Fractions is 48888060.Finally, LCM of Fractions for 538/81, 260/66, 699/679 is 48888060.