Least Common Multiple of 6123/595, 9933/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6123/595, 9933/987 quickly i.e. 2896179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6123/595, 9933/987 is 2896179.

LCM(6123/595, 9933/987) = 2896179

LCM of 6123/595, 9933/987

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 6123/595,9933/987

Given numbers are 6123/595,9933/987

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 6123,9933

Least Common Multiple of Numerators i.e. LCM of 6123,9933 is 20273253.

GCF of Denominators means GCF of 595,987 as per the given fractions.

GCF of 595,987 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6123,9933

LCM of Fractions 6123/595,9933/987 is 2896179

3 6123, 9933
2041, 3311

∴ So the LCM of the given numbers is 3 x 2041 x 3311 = 20273253

Least Common Multiple of 6123,9933 with GCF Formula

Least Common Multiple of 6123,9933 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 6123,9933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6123,9933) = 3

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

GCF(6123,9933) x common factors =3 x 1 = 3

LCM(6123,9933) = ( 6123 × 9933 ) / 3

LCM(6123,9933) = 60819759 / 3

LCM(6123,9933) = 20273253


Lets's calculate GCF of 595,987

7 595, 987
85, 141

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20273253/7

Therefore the LCM of Fractions 6123/595,9933/987 is 2896179

Greatest Common Factor of 595,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,987 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 595,987 . The biggest common factor number is the GCF number.
So the greatest common factor 595,987 is 7.


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 6123/595, 9933/987

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 6123/595, 9933/987?

Answer: LCM of Numerators as per given numbers 6123/595, 9933/987 is

LCM of Numerators i.e. for 6123,9933 is 20273253

GCF of denominators i.e. for 595,987 is 7.

Thus, LCM of Fractions is 2896179.Finally, LCM of Fractions for 6123/595, 9933/987 is 2896179.