Least Common Multiple of 102/38, 442/2562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/38, 442/2562 quickly i.e. 663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/38, 442/2562 is 663.

LCM(102/38, 442/2562) = 663

LCM of 102/38, 442/2562

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 102/38,442/2562

Given numbers are 102/38,442/2562

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 102,442

Least Common Multiple of Numerators i.e. LCM of 102,442 is 1326.

GCF of Denominators means GCF of 38,2562 as per the given fractions.

GCF of 38,2562 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,442

LCM of Fractions 102/38,442/2562 is 663

2 102, 442
17 51, 221
3, 13

∴ So the LCM of the given numbers is 2 x 17 x 3 x 13 = 1326

Least Common Multiple of 102,442 with GCF Formula

Least Common Multiple of 102,442 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 102,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,442) = 34

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

GCF(102,442) x common factors =34 x 1 = 34

LCM(102,442) = ( 102 × 442 ) / 34

LCM(102,442) = 45084 / 34

LCM(102,442) = 1326


Lets's calculate GCF of 38,2562

2 38, 2562
19, 1281

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326/2

Therefore the LCM of Fractions 102/38,442/2562 is 663

Greatest Common Factor of 38,2562 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2562 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 2562

List of positive integer factors of 2562 that divides 2562 without a remainder.

1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562

Greatest Common Factor

We found the factors 38,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2562 is 2.


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 102/38, 442/2562

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 102/38, 442/2562?

Answer: LCM of Numerators as per given numbers 102/38, 442/2562 is

LCM of Numerators i.e. for 102,442 is 1326

GCF of denominators i.e. for 38,2562 is 2.

Thus, LCM of Fractions is 663.Finally, LCM of Fractions for 102/38, 442/2562 is 663.