Least Common Multiple of 576/120, 3038/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/120, 3038/284 quickly i.e. 218736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/120, 3038/284 is 218736.

LCM(576/120, 3038/284) = 218736

LCM of 576/120, 3038/284

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 576/120,3038/284

Given numbers are 576/120,3038/284

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 576,3038

Least Common Multiple of Numerators i.e. LCM of 576,3038 is 874944.

GCF of Denominators means GCF of 120,284 as per the given fractions.

GCF of 120,284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,3038

LCM of Fractions 576/120,3038/284 is 218736

2 576, 3038
288, 1519

∴ So the LCM of the given numbers is 2 x 288 x 1519 = 874944

Least Common Multiple of 576,3038 with GCF Formula

Least Common Multiple of 576,3038 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 576,3038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,3038) = 2

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

GCF(576,3038) x common factors =2 x 1 = 2

LCM(576,3038) = ( 576 × 3038 ) / 2

LCM(576,3038) = 1749888 / 2

LCM(576,3038) = 874944


Lets's calculate GCF of 120,284

2 120, 284
2 60, 142
30, 71

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874944/4

Therefore the LCM of Fractions 576/120,3038/284 is 218736

Greatest Common Factor of 120,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,284 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 120,284 . The biggest common factor number is the GCF number.
So the greatest common factor 120,284 is 4.


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 576/120, 3038/284

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 576/120, 3038/284?

Answer: LCM of Numerators as per given numbers 576/120, 3038/284 is

LCM of Numerators i.e. for 576,3038 is 874944

GCF of denominators i.e. for 120,284 is 4.

Thus, LCM of Fractions is 218736.Finally, LCM of Fractions for 576/120, 3038/284 is 218736.