Least Common Multiple of 85/612, 7885/6024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/612, 7885/6024 quickly i.e. 134045/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/612, 7885/6024 is 134045/12.

LCM(85/612, 7885/6024) = 134045/12

LCM of 85/612, 7885/6024

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 85/612,7885/6024

Given numbers are 85/612,7885/6024

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 85,7885

Least Common Multiple of Numerators i.e. LCM of 85,7885 is 134045.

GCF of Denominators means GCF of 612,6024 as per the given fractions.

GCF of 612,6024 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,7885

LCM of Fractions 85/612,7885/6024 is 134045/12

5 85, 7885
17, 1577

∴ So the LCM of the given numbers is 5 x 17 x 1577 = 134045

Least Common Multiple of 85,7885 with GCF Formula

Least Common Multiple of 85,7885 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 85,7885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,7885) = 5

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

GCF(85,7885) x common factors =5 x 1 = 5

LCM(85,7885) = ( 85 × 7885 ) / 5

LCM(85,7885) = 670225 / 5

LCM(85,7885) = 134045


Lets's calculate GCF of 612,6024

2 612, 6024
2 306, 3012
3 153, 1506
51, 502

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134045/12

Therefore the LCM of Fractions 85/612,7885/6024 is 134045/12

Greatest Common Factor of 612,6024 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,6024 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Greatest Common Factor

We found the factors 612,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 612,6024 is 12.


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 85/612, 7885/6024

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 85/612, 7885/6024?

Answer: LCM of Numerators as per given numbers 85/612, 7885/6024 is

LCM of Numerators i.e. for 85,7885 is 134045

GCF of denominators i.e. for 612,6024 is 12.

Thus, LCM of Fractions is 134045/12.Finally, LCM of Fractions for 85/612, 7885/6024 is 134045/12.