Least Common Multiple of 558/39, 524/24, 803/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/39, 524/24, 803/679 quickly i.e. 117395388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/39, 524/24, 803/679 is 117395388.

LCM(558/39, 524/24, 803/679) = 117395388

LCM of 558/39, 524/24, 803/679

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 558/39,524/24,803/679

Given numbers are 558/39,524/24,803/679

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 558,524,803

Least Common Multiple of Numerators i.e. LCM of 558,524,803 is 117395388.

GCF of Denominators means GCF of 39,24,679 as per the given fractions.

GCF of 39,24,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,524,803

LCM of Fractions 558/39,524/24,803/679 is 117395388

2 558, 524, 803
279, 262, 803

∴ So the LCM of the given numbers is 2 x 279 x 262 x 803 = 117395388

Least Common Multiple of 558,524,803 with GCF Formula

Least Common Multiple of 558,524,803 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 558,524,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,524,803) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(558,524,803) x common factors =1 x 2 = 2

LCM(558,524,803) = ( 558 × 524 × 803 ) / 2

LCM(558,524,803) = 234790776 / 2

LCM(558,524,803) = 117395388


Lets's calculate GCF of 39,24,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117395388/1

Therefore the LCM of Fractions 558/39,524/24,803/679 is 117395388

Greatest Common Factor of 39,24,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,24,679 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 39,24,679 . The biggest common factor number is the GCF number.
So the greatest common factor 39,24,679 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 558/39, 524/24, 803/679

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 558/39, 524/24, 803/679?

Answer: LCM of Numerators as per given numbers 558/39, 524/24, 803/679 is

LCM of Numerators i.e. for 558,524,803 is 117395388

GCF of denominators i.e. for 39,24,679 is 1.

Thus, LCM of Fractions is 117395388.Finally, LCM of Fractions for 558/39, 524/24, 803/679 is 117395388.