Least Common Multiple of 38/66, 87/75, 342/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/66, 87/75, 342/717 quickly i.e. 3306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/66, 87/75, 342/717 is 3306.

LCM(38/66, 87/75, 342/717) = 3306

LCM of 38/66, 87/75, 342/717

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 38/66,87/75,342/717

Given numbers are 38/66,87/75,342/717

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 38,87,342

Least Common Multiple of Numerators i.e. LCM of 38,87,342 is 9918.

GCF of Denominators means GCF of 66,75,717 as per the given fractions.

GCF of 66,75,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,87,342

LCM of Fractions 38/66,87/75,342/717 is 3306

2 38, 87, 342
3 19, 87, 171
19 19, 29, 57
1, 29, 3

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 29 x 3 = 9918

Least Common Multiple of 38,87,342 with GCF Formula

Least Common Multiple of 38,87,342 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 38,87,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,87,342) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(38,87,342) x common factors =1 x 114 = 114

LCM(38,87,342) = ( 38 × 87 × 342 ) / 114

LCM(38,87,342) = 1130652 / 114

LCM(38,87,342) = 9918


Lets's calculate GCF of 66,75,717

3 66, 75, 717
22, 25, 239

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9918/3

Therefore the LCM of Fractions 38/66,87/75,342/717 is 3306

Greatest Common Factor of 66,75,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,75,717 By Matching Biggest Common Factor Method

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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 66,75,717 . The biggest common factor number is the GCF number.
So the greatest common factor 66,75,717 is 3.


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 38/66, 87/75, 342/717

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 38/66, 87/75, 342/717?

Answer: LCM of Numerators as per given numbers 38/66, 87/75, 342/717 is

LCM of Numerators i.e. for 38,87,342 is 9918

GCF of denominators i.e. for 66,75,717 is 3.

Thus, LCM of Fractions is 3306.Finally, LCM of Fractions for 38/66, 87/75, 342/717 is 3306.