Least Common Multiple of 75/68, 76/110, 268/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/68, 76/110, 268/717 quickly i.e. 381900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/68, 76/110, 268/717 is 381900.

LCM(75/68, 76/110, 268/717) = 381900

LCM of 75/68, 76/110, 268/717

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 75/68,76/110,268/717

Given numbers are 75/68,76/110,268/717

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 75,76,268

Least Common Multiple of Numerators i.e. LCM of 75,76,268 is 381900.

GCF of Denominators means GCF of 68,110,717 as per the given fractions.

GCF of 68,110,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,76,268

LCM of Fractions 75/68,76/110,268/717 is 381900

2 75, 76, 268
2 75, 38, 134
75, 19, 67

∴ So the LCM of the given numbers is 2 x 2 x 75 x 19 x 67 = 381900

Least Common Multiple of 75,76,268 with GCF Formula

Least Common Multiple of 75,76,268 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 75,76,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,76,268) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(75,76,268) x common factors =1 x 4 = 4

LCM(75,76,268) = ( 75 × 76 × 268 ) / 4

LCM(75,76,268) = 1527600 / 4

LCM(75,76,268) = 381900


Lets's calculate GCF of 68,110,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381900/1

Therefore the LCM of Fractions 75/68,76/110,268/717 is 381900

Greatest Common Factor of 68,110,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,110,717 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 68,110,717 . The biggest common factor number is the GCF number.
So the greatest common factor 68,110,717 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 75/68, 76/110, 268/717

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 75/68, 76/110, 268/717?

Answer: LCM of Numerators as per given numbers 75/68, 76/110, 268/717 is

LCM of Numerators i.e. for 75,76,268 is 381900

GCF of denominators i.e. for 68,110,717 is 1.

Thus, LCM of Fractions is 381900.Finally, LCM of Fractions for 75/68, 76/110, 268/717 is 381900.