Least Common Multiple of 22/516, 9245/7251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/516, 9245/7251 quickly i.e. 203390/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/516, 9245/7251 is 203390/3.

LCM(22/516, 9245/7251) = 203390/3

LCM of 22/516, 9245/7251

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 22/516,9245/7251

Given numbers are 22/516,9245/7251

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 22,9245

Least Common Multiple of Numerators i.e. LCM of 22,9245 is 203390.

GCF of Denominators means GCF of 516,7251 as per the given fractions.

GCF of 516,7251 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,9245

LCM of Fractions 22/516,9245/7251 is 203390/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 203390

Least Common Multiple of 22,9245 with GCF Formula

Least Common Multiple of 22,9245 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 22,9245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,9245) = 1

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

GCF(22,9245) x common factors =1 x 1 = 1

LCM(22,9245) = ( 22 × 9245 ) / 1

LCM(22,9245) = 203390 / 1

LCM(22,9245) = 203390


Lets's calculate GCF of 516,7251

3 516, 7251
172, 2417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203390/3

Therefore the LCM of Fractions 22/516,9245/7251 is 203390/3

Greatest Common Factor of 516,7251 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,7251 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 7251

List of positive integer factors of 7251 that divides 7251 without a remainder.

1,3,2417,7251

Greatest Common Factor

We found the factors 516,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 516,7251 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 22/516, 9245/7251

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 22/516, 9245/7251?

Answer: LCM of Numerators as per given numbers 22/516, 9245/7251 is

LCM of Numerators i.e. for 22,9245 is 203390

GCF of denominators i.e. for 516,7251 is 3.

Thus, LCM of Fractions is 203390/3.Finally, LCM of Fractions for 22/516, 9245/7251 is 203390/3.