Least Common Multiple of 122/10, 771/72, 253/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 122/10, 771/72, 253/594 quickly i.e. 11898843 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 122/10, 771/72, 253/594 is 11898843.

LCM(122/10, 771/72, 253/594) = 11898843

LCM of 122/10, 771/72, 253/594

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 122/10,771/72,253/594

Given numbers are 122/10,771/72,253/594

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 122,771,253

Least Common Multiple of Numerators i.e. LCM of 122,771,253 is 23797686.

GCF of Denominators means GCF of 10,72,594 as per the given fractions.

GCF of 10,72,594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 122,771,253

LCM of Fractions 122/10,771/72,253/594 is 11898843

Given numbers has no common factors except 1. So, there LCM is their product i.e 23797686

Least Common Multiple of 122,771,253 with GCF Formula

Least Common Multiple of 122,771,253 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 122,771,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,771,253) = 1

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

GCF(122,771,253) x common factors =1 x 1 = 1

LCM(122,771,253) = ( 122 × 771 × 253 ) / 1

LCM(122,771,253) = 23797686 / 1

LCM(122,771,253) = 23797686


Lets's calculate GCF of 10,72,594

2 10, 72, 594
5, 36, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23797686/2

Therefore the LCM of Fractions 122/10,771/72,253/594 is 11898843

Greatest Common Factor of 10,72,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,72,594 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 10,72,594 . The biggest common factor number is the GCF number.
So the greatest common factor 10,72,594 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 122/10, 771/72, 253/594

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 122/10, 771/72, 253/594?

Answer: LCM of Numerators as per given numbers 122/10, 771/72, 253/594 is

LCM of Numerators i.e. for 122,771,253 is 23797686

GCF of denominators i.e. for 10,72,594 is 2.

Thus, LCM of Fractions is 11898843.Finally, LCM of Fractions for 122/10, 771/72, 253/594 is 11898843.