Least Common Multiple of 199/546, 118/475, 209/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/546, 118/475, 209/258 quickly i.e. 4907738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/546, 118/475, 209/258 is 4907738.

LCM(199/546, 118/475, 209/258) = 4907738

LCM of 199/546, 118/475, 209/258

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 199/546,118/475,209/258

Given numbers are 199/546,118/475,209/258

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 199,118,209

Least Common Multiple of Numerators i.e. LCM of 199,118,209 is 4907738.

GCF of Denominators means GCF of 546,475,258 as per the given fractions.

GCF of 546,475,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,118,209

LCM of Fractions 199/546,118/475,209/258 is 4907738

Given numbers has no common factors except 1. So, there LCM is their product i.e 4907738

Least Common Multiple of 199,118,209 with GCF Formula

Least Common Multiple of 199,118,209 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 199,118,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,118,209) = 1

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

GCF(199,118,209) x common factors =1 x 1 = 1

LCM(199,118,209) = ( 199 × 118 × 209 ) / 1

LCM(199,118,209) = 4907738 / 1

LCM(199,118,209) = 4907738


Lets's calculate GCF of 546,475,258

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4907738/1

Therefore the LCM of Fractions 199/546,118/475,209/258 is 4907738

Greatest Common Factor of 546,475,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,475,258 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 546,475,258 . The biggest common factor number is the GCF number.
So the greatest common factor 546,475,258 is 1.


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 199/546, 118/475, 209/258

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 199/546, 118/475, 209/258?

Answer: LCM of Numerators as per given numbers 199/546, 118/475, 209/258 is

LCM of Numerators i.e. for 199,118,209 is 4907738

GCF of denominators i.e. for 546,475,258 is 1.

Thus, LCM of Fractions is 4907738.Finally, LCM of Fractions for 199/546, 118/475, 209/258 is 4907738.