Least Common Multiple of 7993/380, 9046/1038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7993/380, 9046/1038 quickly i.e. 36152339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7993/380, 9046/1038 is 36152339.

LCM(7993/380, 9046/1038) = 36152339

LCM of 7993/380, 9046/1038

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 7993/380,9046/1038

Given numbers are 7993/380,9046/1038

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 7993,9046

Least Common Multiple of Numerators i.e. LCM of 7993,9046 is 72304678.

GCF of Denominators means GCF of 380,1038 as per the given fractions.

GCF of 380,1038 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7993,9046

LCM of Fractions 7993/380,9046/1038 is 36152339

Given numbers has no common factors except 1. So, there LCM is their product i.e 72304678

Least Common Multiple of 7993,9046 with GCF Formula

Least Common Multiple of 7993,9046 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 7993,9046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7993,9046) = 1

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

GCF(7993,9046) x common factors =1 x 1 = 1

LCM(7993,9046) = ( 7993 × 9046 ) / 1

LCM(7993,9046) = 72304678 / 1

LCM(7993,9046) = 72304678


Lets's calculate GCF of 380,1038

2 380, 1038
190, 519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72304678/2

Therefore the LCM of Fractions 7993/380,9046/1038 is 36152339

Greatest Common Factor of 380,1038 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,1038 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1,2,3,6,173,346,519,1038

Greatest Common Factor

We found the factors 380,1038 . The biggest common factor number is the GCF number.
So the greatest common factor 380,1038 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 7993/380, 9046/1038

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 7993/380, 9046/1038?

Answer: LCM of Numerators as per given numbers 7993/380, 9046/1038 is

LCM of Numerators i.e. for 7993,9046 is 72304678

GCF of denominators i.e. for 380,1038 is 2.

Thus, LCM of Fractions is 36152339.Finally, LCM of Fractions for 7993/380, 9046/1038 is 36152339.