Least Common Multiple of 12/51, 90/57, 19/79, 68/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/51, 90/57, 19/79, 68/984 quickly i.e. 58140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/51, 90/57, 19/79, 68/984 is 58140.

LCM(12/51, 90/57, 19/79, 68/984) = 58140

LCM of 12/51, 90/57, 19/79, 68/984

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 12/51,90/57,19/79,68/984

Given numbers are 12/51,90/57,19/79,68/984

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 12,90,19,68

Least Common Multiple of Numerators i.e. LCM of 12,90,19,68 is 58140.

GCF of Denominators means GCF of 51,57,79,984 as per the given fractions.

GCF of 51,57,79,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,90,19,68

LCM of Fractions 12/51,90/57,19/79,68/984 is 58140

2 12, 90, 19, 68
2 6, 45, 19, 34
3 3, 45, 19, 17
1, 15, 19, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 15 x 19 x 17 = 58140

Least Common Multiple of 12,90,19,68 with GCF Formula

Least Common Multiple of 12,90,19,68 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 12,90,19,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,90,19,68) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(12,90,19,68) x common factors =1 x 24 = 24

LCM(12,90,19,68) = ( 12 × 90 × 19 × 68 ) / 24

LCM(12,90,19,68) = 1395360 / 24

LCM(12,90,19,68) = 58140


Lets's calculate GCF of 51,57,79,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58140/1

Therefore the LCM of Fractions 12/51,90/57,19/79,68/984 is 58140

Greatest Common Factor of 51,57,79,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,57,79,984 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 51,57,79,984 . The biggest common factor number is the GCF number.
So the greatest common factor 51,57,79,984 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 12/51, 90/57, 19/79, 68/984

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 12/51, 90/57, 19/79, 68/984?

Answer: LCM of Numerators as per given numbers 12/51, 90/57, 19/79, 68/984 is

LCM of Numerators i.e. for 12,90,19,68 is 58140

GCF of denominators i.e. for 51,57,79,984 is 1.

Thus, LCM of Fractions is 58140.Finally, LCM of Fractions for 12/51, 90/57, 19/79, 68/984 is 58140.