Least Common Multiple of 198/92, 922/5822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/92, 922/5822 quickly i.e. 45639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/92, 922/5822 is 45639.

LCM(198/92, 922/5822) = 45639

LCM of 198/92, 922/5822

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 198/92,922/5822

Given numbers are 198/92,922/5822

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 198,922

Least Common Multiple of Numerators i.e. LCM of 198,922 is 91278.

GCF of Denominators means GCF of 92,5822 as per the given fractions.

GCF of 92,5822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,922

LCM of Fractions 198/92,922/5822 is 45639

2 198, 922
99, 461

∴ So the LCM of the given numbers is 2 x 99 x 461 = 91278

Least Common Multiple of 198,922 with GCF Formula

Least Common Multiple of 198,922 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 198,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,922) = 2

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

GCF(198,922) x common factors =2 x 1 = 2

LCM(198,922) = ( 198 × 922 ) / 2

LCM(198,922) = 182556 / 2

LCM(198,922) = 91278


Lets's calculate GCF of 92,5822

2 92, 5822
46, 2911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91278/2

Therefore the LCM of Fractions 198/92,922/5822 is 45639

Greatest Common Factor of 92,5822 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,5822 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Greatest Common Factor

We found the factors 92,5822 . The biggest common factor number is the GCF number.
So the greatest common factor 92,5822 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 198/92, 922/5822

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 198/92, 922/5822?

Answer: LCM of Numerators as per given numbers 198/92, 922/5822 is

LCM of Numerators i.e. for 198,922 is 91278

GCF of denominators i.e. for 92,5822 is 2.

Thus, LCM of Fractions is 45639.Finally, LCM of Fractions for 198/92, 922/5822 is 45639.