Least Common Multiple of 198/771, 211/561, 652/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/771, 211/561, 652/546 quickly i.e. 4539876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/771, 211/561, 652/546 is 4539876.

LCM(198/771, 211/561, 652/546) = 4539876

LCM of 198/771, 211/561, 652/546

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 198/771,211/561,652/546

Given numbers are 198/771,211/561,652/546

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 198,211,652

Least Common Multiple of Numerators i.e. LCM of 198,211,652 is 13619628.

GCF of Denominators means GCF of 771,561,546 as per the given fractions.

GCF of 771,561,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,211,652

LCM of Fractions 198/771,211/561,652/546 is 4539876

2 198, 211, 652
99, 211, 326

∴ So the LCM of the given numbers is 2 x 99 x 211 x 326 = 13619628

Least Common Multiple of 198,211,652 with GCF Formula

Least Common Multiple of 198,211,652 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 198,211,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,211,652) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(198,211,652) x common factors =1 x 2 = 2

LCM(198,211,652) = ( 198 × 211 × 652 ) / 2

LCM(198,211,652) = 27239256 / 2

LCM(198,211,652) = 13619628


Lets's calculate GCF of 771,561,546

3 771, 561, 546
257, 187, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13619628/3

Therefore the LCM of Fractions 198/771,211/561,652/546 is 4539876

Greatest Common Factor of 771,561,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,561,546 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

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

Greatest Common Factor

We found the factors 771,561,546 . The biggest common factor number is the GCF number.
So the greatest common factor 771,561,546 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 198/771, 211/561, 652/546

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 198/771, 211/561, 652/546?

Answer: LCM of Numerators as per given numbers 198/771, 211/561, 652/546 is

LCM of Numerators i.e. for 198,211,652 is 13619628

GCF of denominators i.e. for 771,561,546 is 3.

Thus, LCM of Fractions is 4539876.Finally, LCM of Fractions for 198/771, 211/561, 652/546 is 4539876.