Least Common Multiple of 199/34, 558/7146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/34, 558/7146 quickly i.e. 55521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/34, 558/7146 is 55521.

LCM(199/34, 558/7146) = 55521

LCM of 199/34, 558/7146

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 199/34,558/7146

Given numbers are 199/34,558/7146

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 199,558

Least Common Multiple of Numerators i.e. LCM of 199,558 is 111042.

GCF of Denominators means GCF of 34,7146 as per the given fractions.

GCF of 34,7146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,558

LCM of Fractions 199/34,558/7146 is 55521

Given numbers has no common factors except 1. So, there LCM is their product i.e 111042

Least Common Multiple of 199,558 with GCF Formula

Least Common Multiple of 199,558 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 199,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,558) = 1

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

GCF(199,558) x common factors =1 x 1 = 1

LCM(199,558) = ( 199 × 558 ) / 1

LCM(199,558) = 111042 / 1

LCM(199,558) = 111042


Lets's calculate GCF of 34,7146

2 34, 7146
17, 3573

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111042/2

Therefore the LCM of Fractions 199/34,558/7146 is 55521

Greatest Common Factor of 34,7146 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,7146 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors 34,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7146 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 199/34, 558/7146

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 199/34, 558/7146?

Answer: LCM of Numerators as per given numbers 199/34, 558/7146 is

LCM of Numerators i.e. for 199,558 is 111042

GCF of denominators i.e. for 34,7146 is 2.

Thus, LCM of Fractions is 55521.Finally, LCM of Fractions for 199/34, 558/7146 is 55521.