Least Common Multiple of 39/300, 5588/9429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/300, 5588/9429 quickly i.e. 72644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/300, 5588/9429 is 72644.

LCM(39/300, 5588/9429) = 72644

LCM of 39/300, 5588/9429

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 39/300,5588/9429

Given numbers are 39/300,5588/9429

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 39,5588

Least Common Multiple of Numerators i.e. LCM of 39,5588 is 217932.

GCF of Denominators means GCF of 300,9429 as per the given fractions.

GCF of 300,9429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,5588

LCM of Fractions 39/300,5588/9429 is 72644

Given numbers has no common factors except 1. So, there LCM is their product i.e 217932

Least Common Multiple of 39,5588 with GCF Formula

Least Common Multiple of 39,5588 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 39,5588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,5588) = 1

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

GCF(39,5588) x common factors =1 x 1 = 1

LCM(39,5588) = ( 39 × 5588 ) / 1

LCM(39,5588) = 217932 / 1

LCM(39,5588) = 217932


Lets's calculate GCF of 300,9429

3 300, 9429
100, 3143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217932/3

Therefore the LCM of Fractions 39/300,5588/9429 is 72644

Greatest Common Factor of 300,9429 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,9429 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 9429

List of positive integer factors of 9429 that divides 9429 without a remainder.

1,3,7,21,449,1347,3143,9429

Greatest Common Factor

We found the factors 300,9429 . The biggest common factor number is the GCF number.
So the greatest common factor 300,9429 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/300, 5588/9429

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 39/300, 5588/9429?

Answer: LCM of Numerators as per given numbers 39/300, 5588/9429 is

LCM of Numerators i.e. for 39,5588 is 217932

GCF of denominators i.e. for 300,9429 is 3.

Thus, LCM of Fractions is 72644.Finally, LCM of Fractions for 39/300, 5588/9429 is 72644.