Least Common Multiple of 12/30, 57/59, 926/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/30, 57/59, 926/990 quickly i.e. 105564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/30, 57/59, 926/990 is 105564.

LCM(12/30, 57/59, 926/990) = 105564

LCM of 12/30, 57/59, 926/990

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 12/30,57/59,926/990

Given numbers are 12/30,57/59,926/990

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 12,57,926

Least Common Multiple of Numerators i.e. LCM of 12,57,926 is 105564.

GCF of Denominators means GCF of 30,59,990 as per the given fractions.

GCF of 30,59,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,57,926

LCM of Fractions 12/30,57/59,926/990 is 105564

2 12, 57, 926
3 6, 57, 463
2, 19, 463

∴ So the LCM of the given numbers is 2 x 3 x 2 x 19 x 463 = 105564

Least Common Multiple of 12,57,926 with GCF Formula

Least Common Multiple of 12,57,926 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 12,57,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,57,926) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(12,57,926) x common factors =1 x 6 = 6

LCM(12,57,926) = ( 12 × 57 × 926 ) / 6

LCM(12,57,926) = 633384 / 6

LCM(12,57,926) = 105564


Lets's calculate GCF of 30,59,990

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105564/1

Therefore the LCM of Fractions 12/30,57/59,926/990 is 105564

Greatest Common Factor of 30,59,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,59,990 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 30,59,990 . The biggest common factor number is the GCF number.
So the greatest common factor 30,59,990 is 1.


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 12/30, 57/59, 926/990

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 12/30, 57/59, 926/990?

Answer: LCM of Numerators as per given numbers 12/30, 57/59, 926/990 is

LCM of Numerators i.e. for 12,57,926 is 105564

GCF of denominators i.e. for 30,59,990 is 1.

Thus, LCM of Fractions is 105564.Finally, LCM of Fractions for 12/30, 57/59, 926/990 is 105564.