Least Common Multiple of 110/516, 9224/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 110/516, 9224/422 quickly i.e. 253660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/516, 9224/422 is 253660.

LCM(110/516, 9224/422) = 253660

LCM of 110/516, 9224/422

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 110/516,9224/422

Given numbers are 110/516,9224/422

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 110,9224

Least Common Multiple of Numerators i.e. LCM of 110,9224 is 507320.

GCF of Denominators means GCF of 516,422 as per the given fractions.

GCF of 516,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,9224

LCM of Fractions 110/516,9224/422 is 253660

2 110, 9224
55, 4612

∴ So the LCM of the given numbers is 2 x 55 x 4612 = 507320

Least Common Multiple of 110,9224 with GCF Formula

Least Common Multiple of 110,9224 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 110,9224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,9224) = 2

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

GCF(110,9224) x common factors =2 x 1 = 2

LCM(110,9224) = ( 110 × 9224 ) / 2

LCM(110,9224) = 1014640 / 2

LCM(110,9224) = 507320


Lets's calculate GCF of 516,422

2 516, 422
258, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507320/2

Therefore the LCM of Fractions 110/516,9224/422 is 253660

Greatest Common Factor of 516,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,422 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 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 516,422 . The biggest common factor number is the GCF number.
So the greatest common factor 516,422 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 110/516, 9224/422

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 110/516, 9224/422?

Answer: LCM of Numerators as per given numbers 110/516, 9224/422 is

LCM of Numerators i.e. for 110,9224 is 507320

GCF of denominators i.e. for 516,422 is 2.

Thus, LCM of Fractions is 253660.Finally, LCM of Fractions for 110/516, 9224/422 is 253660.