Least Common Multiple of 8121/47, 9782/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8121/47, 9782/522 quickly i.e. 79439622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8121/47, 9782/522 is 79439622.

LCM(8121/47, 9782/522) = 79439622

LCM of 8121/47, 9782/522

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 8121/47,9782/522

Given numbers are 8121/47,9782/522

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 8121,9782

Least Common Multiple of Numerators i.e. LCM of 8121,9782 is 79439622.

GCF of Denominators means GCF of 47,522 as per the given fractions.

GCF of 47,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8121,9782

LCM of Fractions 8121/47,9782/522 is 79439622

Given numbers has no common factors except 1. So, there LCM is their product i.e 79439622

Least Common Multiple of 8121,9782 with GCF Formula

Least Common Multiple of 8121,9782 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 8121,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8121,9782) = 1

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

GCF(8121,9782) x common factors =1 x 1 = 1

LCM(8121,9782) = ( 8121 × 9782 ) / 1

LCM(8121,9782) = 79439622 / 1

LCM(8121,9782) = 79439622


Lets's calculate GCF of 47,522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79439622/1

Therefore the LCM of Fractions 8121/47,9782/522 is 79439622

Greatest Common Factor of 47,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,522 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 47,522 . The biggest common factor number is the GCF number.
So the greatest common factor 47,522 is 1.


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 8121/47, 9782/522

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 8121/47, 9782/522?

Answer: LCM of Numerators as per given numbers 8121/47, 9782/522 is

LCM of Numerators i.e. for 8121,9782 is 79439622

GCF of denominators i.e. for 47,522 is 1.

Thus, LCM of Fractions is 79439622.Finally, LCM of Fractions for 8121/47, 9782/522 is 79439622.