Least Common Multiple of 101/69, 279/86, 268/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/69, 279/86, 268/39 quickly i.e. 7551972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/69, 279/86, 268/39 is 7551972.

LCM(101/69, 279/86, 268/39) = 7551972

LCM of 101/69, 279/86, 268/39

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 101/69,279/86,268/39

Given numbers are 101/69,279/86,268/39

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 101,279,268

Least Common Multiple of Numerators i.e. LCM of 101,279,268 is 7551972.

GCF of Denominators means GCF of 69,86,39 as per the given fractions.

GCF of 69,86,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,279,268

LCM of Fractions 101/69,279/86,268/39 is 7551972

Given numbers has no common factors except 1. So, there LCM is their product i.e 7551972

Least Common Multiple of 101,279,268 with GCF Formula

Least Common Multiple of 101,279,268 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 101,279,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,279,268) = 1

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

GCF(101,279,268) x common factors =1 x 1 = 1

LCM(101,279,268) = ( 101 × 279 × 268 ) / 1

LCM(101,279,268) = 7551972 / 1

LCM(101,279,268) = 7551972


Lets's calculate GCF of 69,86,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7551972/1

Therefore the LCM of Fractions 101/69,279/86,268/39 is 7551972

Greatest Common Factor of 69,86,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,86,39 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 69,86,39 . The biggest common factor number is the GCF number.
So the greatest common factor 69,86,39 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 101/69, 279/86, 268/39

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 101/69, 279/86, 268/39?

Answer: LCM of Numerators as per given numbers 101/69, 279/86, 268/39 is

LCM of Numerators i.e. for 101,279,268 is 7551972

GCF of denominators i.e. for 69,86,39 is 1.

Thus, LCM of Fractions is 7551972.Finally, LCM of Fractions for 101/69, 279/86, 268/39 is 7551972.