Least Common Multiple of 2528/381, 1442/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2528/381, 1442/384 quickly i.e. 1822688/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2528/381, 1442/384 is 1822688/3.

LCM(2528/381, 1442/384) = 1822688/3

LCM of 2528/381, 1442/384

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 2528/381,1442/384

Given numbers are 2528/381,1442/384

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 2528,1442

Least Common Multiple of Numerators i.e. LCM of 2528,1442 is 1822688.

GCF of Denominators means GCF of 381,384 as per the given fractions.

GCF of 381,384 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2528,1442

LCM of Fractions 2528/381,1442/384 is 1822688/3

2 2528, 1442
1264, 721

∴ So the LCM of the given numbers is 2 x 1264 x 721 = 1822688

Least Common Multiple of 2528,1442 with GCF Formula

Least Common Multiple of 2528,1442 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 2528,1442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2528,1442) = 2

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

GCF(2528,1442) x common factors =2 x 1 = 2

LCM(2528,1442) = ( 2528 × 1442 ) / 2

LCM(2528,1442) = 3645376 / 2

LCM(2528,1442) = 1822688


Lets's calculate GCF of 381,384

3 381, 384
127, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1822688/3

Therefore the LCM of Fractions 2528/381,1442/384 is 1822688/3

Greatest Common Factor of 381,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,384 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 381,384 . The biggest common factor number is the GCF number.
So the greatest common factor 381,384 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 2528/381, 1442/384

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 2528/381, 1442/384?

Answer: LCM of Numerators as per given numbers 2528/381, 1442/384 is

LCM of Numerators i.e. for 2528,1442 is 1822688

GCF of denominators i.e. for 381,384 is 3.

Thus, LCM of Fractions is 1822688/3.Finally, LCM of Fractions for 2528/381, 1442/384 is 1822688/3.