Least Common Multiple of 122/420, 2205/9728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/420, 2205/9728 quickly i.e. 269010/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/420, 2205/9728 is 269010/4.

LCM(122/420, 2205/9728) = 269010/4

LCM of 122/420, 2205/9728

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 122/420,2205/9728

Given numbers are 122/420,2205/9728

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 122,2205

Least Common Multiple of Numerators i.e. LCM of 122,2205 is 269010.

GCF of Denominators means GCF of 420,9728 as per the given fractions.

GCF of 420,9728 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,2205

LCM of Fractions 122/420,2205/9728 is 269010/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 269010

Least Common Multiple of 122,2205 with GCF Formula

Least Common Multiple of 122,2205 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 122,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,2205) = 1

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

GCF(122,2205) x common factors =1 x 1 = 1

LCM(122,2205) = ( 122 × 2205 ) / 1

LCM(122,2205) = 269010 / 1

LCM(122,2205) = 269010


Lets's calculate GCF of 420,9728

2 420, 9728
2 210, 4864
105, 2432

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269010/4

Therefore the LCM of Fractions 122/420,2205/9728 is 269010/4

Greatest Common Factor of 420,9728 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,9728 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Greatest Common Factor

We found the factors 420,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 420,9728 is 4.


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 122/420, 2205/9728

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 122/420, 2205/9728?

Answer: LCM of Numerators as per given numbers 122/420, 2205/9728 is

LCM of Numerators i.e. for 122,2205 is 269010

GCF of denominators i.e. for 420,9728 is 4.

Thus, LCM of Fractions is 269010/4.Finally, LCM of Fractions for 122/420, 2205/9728 is 269010/4.