Least Common Multiple of 283/36, 794/1200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/36, 794/1200 quickly i.e. 224702/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/36, 794/1200 is 224702/12.

LCM(283/36, 794/1200) = 224702/12

LCM of 283/36, 794/1200

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 283/36,794/1200

Given numbers are 283/36,794/1200

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 283,794

Least Common Multiple of Numerators i.e. LCM of 283,794 is 224702.

GCF of Denominators means GCF of 36,1200 as per the given fractions.

GCF of 36,1200 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,794

LCM of Fractions 283/36,794/1200 is 224702/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 224702

Least Common Multiple of 283,794 with GCF Formula

Least Common Multiple of 283,794 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 283,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,794) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(283,794) x common factors =1 x 1 = 1

LCM(283,794) = ( 283 × 794 ) / 1

LCM(283,794) = 224702 / 1

LCM(283,794) = 224702


Lets's calculate GCF of 36,1200

2 36, 1200
2 18, 600
3 9, 300
3, 100

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224702/12

Therefore the LCM of Fractions 283/36,794/1200 is 224702/12

Greatest Common Factor of 36,1200 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,1200 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 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 36,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1200 is 12.


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 283/36, 794/1200

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 283/36, 794/1200?

Answer: LCM of Numerators as per given numbers 283/36, 794/1200 is

LCM of Numerators i.e. for 283,794 is 224702

GCF of denominators i.e. for 36,1200 is 12.

Thus, LCM of Fractions is 224702/12.Finally, LCM of Fractions for 283/36, 794/1200 is 224702/12.