Least Common Multiple of 579/755, 988/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/755, 988/512 quickly i.e. 572052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/755, 988/512 is 572052.

LCM(579/755, 988/512) = 572052

LCM of 579/755, 988/512

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 579/755,988/512

Given numbers are 579/755,988/512

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 579,988

Least Common Multiple of Numerators i.e. LCM of 579,988 is 572052.

GCF of Denominators means GCF of 755,512 as per the given fractions.

GCF of 755,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,988

LCM of Fractions 579/755,988/512 is 572052

Given numbers has no common factors except 1. So, there LCM is their product i.e 572052

Least Common Multiple of 579,988 with GCF Formula

Least Common Multiple of 579,988 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 579,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,988) = 1

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

GCF(579,988) x common factors =1 x 1 = 1

LCM(579,988) = ( 579 × 988 ) / 1

LCM(579,988) = 572052 / 1

LCM(579,988) = 572052


Lets's calculate GCF of 755,512

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 572052/1

Therefore the LCM of Fractions 579/755,988/512 is 572052

Greatest Common Factor of 755,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,512 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 755,512 . The biggest common factor number is the GCF number.
So the greatest common factor 755,512 is 1.


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 579/755, 988/512

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 579/755, 988/512?

Answer: LCM of Numerators as per given numbers 579/755, 988/512 is

LCM of Numerators i.e. for 579,988 is 572052

GCF of denominators i.e. for 755,512 is 1.

Thus, LCM of Fractions is 572052.Finally, LCM of Fractions for 579/755, 988/512 is 572052.