Least Common Multiple of 12/36, 283/50, 296/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/36, 283/50, 296/978 quickly i.e. 125652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/36, 283/50, 296/978 is 125652.

LCM(12/36, 283/50, 296/978) = 125652

LCM of 12/36, 283/50, 296/978

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 12/36,283/50,296/978

Given numbers are 12/36,283/50,296/978

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 12,283,296

Least Common Multiple of Numerators i.e. LCM of 12,283,296 is 251304.

GCF of Denominators means GCF of 36,50,978 as per the given fractions.

GCF of 36,50,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,283,296

LCM of Fractions 12/36,283/50,296/978 is 125652

2 12, 283, 296
2 6, 283, 148
3, 283, 74

∴ So the LCM of the given numbers is 2 x 2 x 3 x 283 x 74 = 251304

Least Common Multiple of 12,283,296 with GCF Formula

Least Common Multiple of 12,283,296 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 12,283,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,283,296) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,283,296) x common factors =1 x 4 = 4

LCM(12,283,296) = ( 12 × 283 × 296 ) / 4

LCM(12,283,296) = 1005216 / 4

LCM(12,283,296) = 251304


Lets's calculate GCF of 36,50,978

2 36, 50, 978
18, 25, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251304/2

Therefore the LCM of Fractions 12/36,283/50,296/978 is 125652

Greatest Common Factor of 36,50,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,50,978 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 36,50,978 . The biggest common factor number is the GCF number.
So the greatest common factor 36,50,978 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 12/36, 283/50, 296/978

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 12/36, 283/50, 296/978?

Answer: LCM of Numerators as per given numbers 12/36, 283/50, 296/978 is

LCM of Numerators i.e. for 12,283,296 is 251304

GCF of denominators i.e. for 36,50,978 is 2.

Thus, LCM of Fractions is 125652.Finally, LCM of Fractions for 12/36, 283/50, 296/978 is 125652.