Least Common Multiple of 12/618, 153/146, 564/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/618, 153/146, 564/894 quickly i.e. 14382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/618, 153/146, 564/894 is 14382.

LCM(12/618, 153/146, 564/894) = 14382

LCM of 12/618, 153/146, 564/894

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 12/618,153/146,564/894

Given numbers are 12/618,153/146,564/894

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 12,153,564

Least Common Multiple of Numerators i.e. LCM of 12,153,564 is 28764.

GCF of Denominators means GCF of 618,146,894 as per the given fractions.

GCF of 618,146,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,153,564

LCM of Fractions 12/618,153/146,564/894 is 14382

2 12, 153, 564
2 6, 153, 282
3 3, 153, 141
1, 51, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 51 x 47 = 28764

Least Common Multiple of 12,153,564 with GCF Formula

Least Common Multiple of 12,153,564 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 12,153,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,153,564) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(12,153,564) x common factors =3 x 12 = 36

LCM(12,153,564) = ( 12 × 153 × 564 ) / 36

LCM(12,153,564) = 1035504 / 36

LCM(12,153,564) = 28764


Lets's calculate GCF of 618,146,894

2 618, 146, 894
309, 73, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28764/2

Therefore the LCM of Fractions 12/618,153/146,564/894 is 14382

Greatest Common Factor of 618,146,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,146,894 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 618,146,894 . The biggest common factor number is the GCF number.
So the greatest common factor 618,146,894 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 12/618, 153/146, 564/894

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 12/618, 153/146, 564/894?

Answer: LCM of Numerators as per given numbers 12/618, 153/146, 564/894 is

LCM of Numerators i.e. for 12,153,564 is 28764

GCF of denominators i.e. for 618,146,894 is 2.

Thus, LCM of Fractions is 14382.Finally, LCM of Fractions for 12/618, 153/146, 564/894 is 14382.