Least Common Multiple of 468/90, 793/7938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/90, 793/7938 quickly i.e. 1586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/90, 793/7938 is 1586.

LCM(468/90, 793/7938) = 1586

LCM of 468/90, 793/7938

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 468/90,793/7938

Given numbers are 468/90,793/7938

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 468,793

Least Common Multiple of Numerators i.e. LCM of 468,793 is 28548.

GCF of Denominators means GCF of 90,7938 as per the given fractions.

GCF of 90,7938 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,793

LCM of Fractions 468/90,793/7938 is 1586

13 468, 793
36, 61

∴ So the LCM of the given numbers is 13 x 36 x 61 = 28548

Least Common Multiple of 468,793 with GCF Formula

Least Common Multiple of 468,793 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 468,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,793) = 13

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

GCF(468,793) x common factors =13 x 1 = 13

LCM(468,793) = ( 468 × 793 ) / 13

LCM(468,793) = 371124 / 13

LCM(468,793) = 28548


Lets's calculate GCF of 90,7938

2 90, 7938
3 45, 3969
3 15, 1323
5, 441

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28548/18

Therefore the LCM of Fractions 468/90,793/7938 is 1586

Greatest Common Factor of 90,7938 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,7938 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938

Greatest Common Factor

We found the factors 90,7938 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7938 is 18.


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 468/90, 793/7938

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 468/90, 793/7938?

Answer: LCM of Numerators as per given numbers 468/90, 793/7938 is

LCM of Numerators i.e. for 468,793 is 28548

GCF of denominators i.e. for 90,7938 is 18.

Thus, LCM of Fractions is 1586.Finally, LCM of Fractions for 468/90, 793/7938 is 1586.