Least Common Multiple of 930/38, 522/7991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 930/38, 522/7991 quickly i.e. 80910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/38, 522/7991 is 80910.

LCM(930/38, 522/7991) = 80910

LCM of 930/38, 522/7991

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 930/38,522/7991

Given numbers are 930/38,522/7991

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 930,522

Least Common Multiple of Numerators i.e. LCM of 930,522 is 80910.

GCF of Denominators means GCF of 38,7991 as per the given fractions.

GCF of 38,7991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,522

LCM of Fractions 930/38,522/7991 is 80910

2 930, 522
3 465, 261
155, 87

∴ So the LCM of the given numbers is 2 x 3 x 155 x 87 = 80910

Least Common Multiple of 930,522 with GCF Formula

Least Common Multiple of 930,522 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 930,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,522) = 6

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

GCF(930,522) x common factors =6 x 1 = 6

LCM(930,522) = ( 930 × 522 ) / 6

LCM(930,522) = 485460 / 6

LCM(930,522) = 80910


Lets's calculate GCF of 38,7991

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80910/1

Therefore the LCM of Fractions 930/38,522/7991 is 80910

Greatest Common Factor of 38,7991 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,7991 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 7991

List of positive integer factors of 7991 that divides 7991 without a remainder.

1,61,131,7991

Greatest Common Factor

We found the factors 38,7991 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7991 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 930/38, 522/7991

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 930/38, 522/7991?

Answer: LCM of Numerators as per given numbers 930/38, 522/7991 is

LCM of Numerators i.e. for 930,522 is 80910

GCF of denominators i.e. for 38,7991 is 1.

Thus, LCM of Fractions is 80910.Finally, LCM of Fractions for 930/38, 522/7991 is 80910.