Least Common Multiple of 207/20, 452/24, 209/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 207/20, 452/24, 209/652 quickly i.e. 4888719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 207/20, 452/24, 209/652 is 4888719.

LCM(207/20, 452/24, 209/652) = 4888719

LCM of 207/20, 452/24, 209/652

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 207/20,452/24,209/652

Given numbers are 207/20,452/24,209/652

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 207,452,209

Least Common Multiple of Numerators i.e. LCM of 207,452,209 is 19554876.

GCF of Denominators means GCF of 20,24,652 as per the given fractions.

GCF of 20,24,652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 207,452,209

LCM of Fractions 207/20,452/24,209/652 is 4888719

Given numbers has no common factors except 1. So, there LCM is their product i.e 19554876

Least Common Multiple of 207,452,209 with GCF Formula

Least Common Multiple of 207,452,209 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 207,452,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,452,209) = 1

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

GCF(207,452,209) x common factors =1 x 1 = 1

LCM(207,452,209) = ( 207 × 452 × 209 ) / 1

LCM(207,452,209) = 19554876 / 1

LCM(207,452,209) = 19554876


Lets's calculate GCF of 20,24,652

2 20, 24, 652
2 10, 12, 326
5, 6, 163

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19554876/4

Therefore the LCM of Fractions 207/20,452/24,209/652 is 4888719

Greatest Common Factor of 20,24,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,24,652 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 20,24,652 . The biggest common factor number is the GCF number.
So the greatest common factor 20,24,652 is 4.


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 207/20, 452/24, 209/652

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 207/20, 452/24, 209/652?

Answer: LCM of Numerators as per given numbers 207/20, 452/24, 209/652 is

LCM of Numerators i.e. for 207,452,209 is 19554876

GCF of denominators i.e. for 20,24,652 is 4.

Thus, LCM of Fractions is 4888719.Finally, LCM of Fractions for 207/20, 452/24, 209/652 is 4888719.