Least Common Multiple of 12/64, 85/98, 845/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/64, 85/98, 845/916 quickly i.e. 86190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/64, 85/98, 845/916 is 86190.

LCM(12/64, 85/98, 845/916) = 86190

LCM of 12/64, 85/98, 845/916

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 12/64,85/98,845/916

Given numbers are 12/64,85/98,845/916

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 12,85,845

Least Common Multiple of Numerators i.e. LCM of 12,85,845 is 172380.

GCF of Denominators means GCF of 64,98,916 as per the given fractions.

GCF of 64,98,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,85,845

LCM of Fractions 12/64,85/98,845/916 is 86190

5 12, 85, 845
12, 17, 169

∴ So the LCM of the given numbers is 5 x 12 x 17 x 169 = 172380

Least Common Multiple of 12,85,845 with GCF Formula

Least Common Multiple of 12,85,845 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 12,85,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,85,845) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(12,85,845) x common factors =1 x 5 = 5

LCM(12,85,845) = ( 12 × 85 × 845 ) / 5

LCM(12,85,845) = 861900 / 5

LCM(12,85,845) = 172380


Lets's calculate GCF of 64,98,916

2 64, 98, 916
32, 49, 458

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172380/2

Therefore the LCM of Fractions 12/64,85/98,845/916 is 86190

Greatest Common Factor of 64,98,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,98,916 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 64,98,916 . The biggest common factor number is the GCF number.
So the greatest common factor 64,98,916 is 2.


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 12/64, 85/98, 845/916

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 12/64, 85/98, 845/916?

Answer: LCM of Numerators as per given numbers 12/64, 85/98, 845/916 is

LCM of Numerators i.e. for 12,85,845 is 172380

GCF of denominators i.e. for 64,98,916 is 2.

Thus, LCM of Fractions is 86190.Finally, LCM of Fractions for 12/64, 85/98, 845/916 is 86190.