Least Common Multiple of 38/102, 7391/8511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/102, 7391/8511 quickly i.e. 14782/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/102, 7391/8511 is 14782/3.

LCM(38/102, 7391/8511) = 14782/3

LCM of 38/102, 7391/8511

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 38/102,7391/8511

Given numbers are 38/102,7391/8511

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 38,7391

Least Common Multiple of Numerators i.e. LCM of 38,7391 is 14782.

GCF of Denominators means GCF of 102,8511 as per the given fractions.

GCF of 102,8511 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7391

LCM of Fractions 38/102,7391/8511 is 14782/3

19 38, 7391
2, 389

∴ So the LCM of the given numbers is 19 x 2 x 389 = 14782

Least Common Multiple of 38,7391 with GCF Formula

Least Common Multiple of 38,7391 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 38,7391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7391) = 19

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

GCF(38,7391) x common factors =19 x 1 = 19

LCM(38,7391) = ( 38 × 7391 ) / 19

LCM(38,7391) = 280858 / 19

LCM(38,7391) = 14782


Lets's calculate GCF of 102,8511

3 102, 8511
34, 2837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14782/3

Therefore the LCM of Fractions 38/102,7391/8511 is 14782/3

Greatest Common Factor of 102,8511 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,8511 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1,3,2837,8511

Greatest Common Factor

We found the factors 102,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 102,8511 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 38/102, 7391/8511

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 38/102, 7391/8511?

Answer: LCM of Numerators as per given numbers 38/102, 7391/8511 is

LCM of Numerators i.e. for 38,7391 is 14782

GCF of denominators i.e. for 102,8511 is 3.

Thus, LCM of Fractions is 14782/3.Finally, LCM of Fractions for 38/102, 7391/8511 is 14782/3.