Least Common Multiple of 9813/972, 9758/4622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9813/972, 9758/4622 quickly i.e. 47877627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9813/972, 9758/4622 is 47877627.

LCM(9813/972, 9758/4622) = 47877627

LCM of 9813/972, 9758/4622

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 9813/972,9758/4622

Given numbers are 9813/972,9758/4622

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 9813,9758

Least Common Multiple of Numerators i.e. LCM of 9813,9758 is 95755254.

GCF of Denominators means GCF of 972,4622 as per the given fractions.

GCF of 972,4622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9813,9758

LCM of Fractions 9813/972,9758/4622 is 47877627

Given numbers has no common factors except 1. So, there LCM is their product i.e 95755254

Least Common Multiple of 9813,9758 with GCF Formula

Least Common Multiple of 9813,9758 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 9813,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9813,9758) = 1

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

GCF(9813,9758) x common factors =1 x 1 = 1

LCM(9813,9758) = ( 9813 × 9758 ) / 1

LCM(9813,9758) = 95755254 / 1

LCM(9813,9758) = 95755254


Lets's calculate GCF of 972,4622

2 972, 4622
486, 2311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95755254/2

Therefore the LCM of Fractions 9813/972,9758/4622 is 47877627

Greatest Common Factor of 972,4622 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,4622 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 4622

List of positive integer factors of 4622 that divides 4622 without a remainder.

1,2,2311,4622

Greatest Common Factor

We found the factors 972,4622 . The biggest common factor number is the GCF number.
So the greatest common factor 972,4622 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 9813/972, 9758/4622

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 9813/972, 9758/4622?

Answer: LCM of Numerators as per given numbers 9813/972, 9758/4622 is

LCM of Numerators i.e. for 9813,9758 is 95755254

GCF of denominators i.e. for 972,4622 is 2.

Thus, LCM of Fractions is 47877627.Finally, LCM of Fractions for 9813/972, 9758/4622 is 47877627.