Least Common Multiple of 9522/690, 4878/1221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9522/690, 4878/1221 quickly i.e. 860154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9522/690, 4878/1221 is 860154.

LCM(9522/690, 4878/1221) = 860154

LCM of 9522/690, 4878/1221

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 9522/690,4878/1221

Given numbers are 9522/690,4878/1221

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 9522,4878

Least Common Multiple of Numerators i.e. LCM of 9522,4878 is 2580462.

GCF of Denominators means GCF of 690,1221 as per the given fractions.

GCF of 690,1221 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9522,4878

LCM of Fractions 9522/690,4878/1221 is 860154

2 9522, 4878
3 4761, 2439
3 1587, 813
529, 271

∴ So the LCM of the given numbers is 2 x 3 x 3 x 529 x 271 = 2580462

Least Common Multiple of 9522,4878 with GCF Formula

Least Common Multiple of 9522,4878 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 9522,4878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9522,4878) = 18

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

GCF(9522,4878) x common factors =18 x 1 = 18

LCM(9522,4878) = ( 9522 × 4878 ) / 18

LCM(9522,4878) = 46448316 / 18

LCM(9522,4878) = 2580462


Lets's calculate GCF of 690,1221

3 690, 1221
230, 407

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2580462/3

Therefore the LCM of Fractions 9522/690,4878/1221 is 860154

Greatest Common Factor of 690,1221 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,1221 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1,3,11,33,37,111,407,1221

Greatest Common Factor

We found the factors 690,1221 . The biggest common factor number is the GCF number.
So the greatest common factor 690,1221 is 3.


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 9522/690, 4878/1221

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 9522/690, 4878/1221?

Answer: LCM of Numerators as per given numbers 9522/690, 4878/1221 is

LCM of Numerators i.e. for 9522,4878 is 2580462

GCF of denominators i.e. for 690,1221 is 3.

Thus, LCM of Fractions is 860154.Finally, LCM of Fractions for 9522/690, 4878/1221 is 860154.