Least Common Multiple of 52/336, 47/825, 549/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/336, 47/825, 549/561 quickly i.e. 447252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/336, 47/825, 549/561 is 447252.

LCM(52/336, 47/825, 549/561) = 447252

LCM of 52/336, 47/825, 549/561

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 52/336,47/825,549/561

Given numbers are 52/336,47/825,549/561

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 52,47,549

Least Common Multiple of Numerators i.e. LCM of 52,47,549 is 1341756.

GCF of Denominators means GCF of 336,825,561 as per the given fractions.

GCF of 336,825,561 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,47,549

LCM of Fractions 52/336,47/825,549/561 is 447252

Given numbers has no common factors except 1. So, there LCM is their product i.e 1341756

Least Common Multiple of 52,47,549 with GCF Formula

Least Common Multiple of 52,47,549 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 52,47,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,47,549) = 1

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

GCF(52,47,549) x common factors =1 x 1 = 1

LCM(52,47,549) = ( 52 × 47 × 549 ) / 1

LCM(52,47,549) = 1341756 / 1

LCM(52,47,549) = 1341756


Lets's calculate GCF of 336,825,561

3 336, 825, 561
112, 275, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1341756/3

Therefore the LCM of Fractions 52/336,47/825,549/561 is 447252

Greatest Common Factor of 336,825,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,825,561 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 561

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

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

Greatest Common Factor

We found the factors 336,825,561 . The biggest common factor number is the GCF number.
So the greatest common factor 336,825,561 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 52/336, 47/825, 549/561

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 52/336, 47/825, 549/561?

Answer: LCM of Numerators as per given numbers 52/336, 47/825, 549/561 is

LCM of Numerators i.e. for 52,47,549 is 1341756

GCF of denominators i.e. for 336,825,561 is 3.

Thus, LCM of Fractions is 447252.Finally, LCM of Fractions for 52/336, 47/825, 549/561 is 447252.