Least Common Multiple of 2123/794, 9283/7190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2123/794, 9283/7190 quickly i.e. 19707809/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2123/794, 9283/7190 is 19707809/2.

LCM(2123/794, 9283/7190) = 19707809/2

LCM of 2123/794, 9283/7190

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 2123/794,9283/7190

Given numbers are 2123/794,9283/7190

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 2123,9283

Least Common Multiple of Numerators i.e. LCM of 2123,9283 is 19707809.

GCF of Denominators means GCF of 794,7190 as per the given fractions.

GCF of 794,7190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2123,9283

LCM of Fractions 2123/794,9283/7190 is 19707809/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 19707809

Least Common Multiple of 2123,9283 with GCF Formula

Least Common Multiple of 2123,9283 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 2123,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2123,9283) = 1

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

GCF(2123,9283) x common factors =1 x 1 = 1

LCM(2123,9283) = ( 2123 × 9283 ) / 1

LCM(2123,9283) = 19707809 / 1

LCM(2123,9283) = 19707809


Lets's calculate GCF of 794,7190

2 794, 7190
397, 3595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19707809/2

Therefore the LCM of Fractions 2123/794,9283/7190 is 19707809/2

Greatest Common Factor of 794,7190 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,7190 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Greatest Common Factor

We found the factors 794,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 794,7190 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2123/794, 9283/7190

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 2123/794, 9283/7190?

Answer: LCM of Numerators as per given numbers 2123/794, 9283/7190 is

LCM of Numerators i.e. for 2123,9283 is 19707809

GCF of denominators i.e. for 794,7190 is 2.

Thus, LCM of Fractions is 19707809/2.Finally, LCM of Fractions for 2123/794, 9283/7190 is 19707809/2.