Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/572, 52/209, 88/369 quickly i.e. 3432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/572, 52/209, 88/369 is 3432.
LCM(3/572, 52/209, 88/369) = 3432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/572,52/209,88/369
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 3,52,88
Least Common Multiple of Numerators i.e. LCM of 3,52,88 is 3432.
GCF of Denominators means GCF of 572,209,369 as per the given fractions.
GCF of 572,209,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,52,88
2 | 3, 52, 88 |
2 | 3, 26, 44 |
3, 13, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 22 = 3432
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 3,52,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,52,88) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(3,52,88) x common factors =1 x 4 = 4
LCM(3,52,88) = ( 3 × 52 × 88 ) / 4
LCM(3,52,88) = 13728 / 4
LCM(3,52,88) = 3432
Lets's calculate GCF of 572,209,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432/1
Therefore the LCM of Fractions 3/572,52/209,88/369 is 3432
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 572,209,369 . The biggest common factor number is the GCF number.
So the greatest common factor 572,209,369 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 3/572, 52/209, 88/369?
Answer: LCM of Numerators as per given numbers 3/572, 52/209, 88/369 is
LCM of Numerators i.e. for 3,52,88 is 3432
GCF of denominators i.e. for 572,209,369 is 1.
Thus, LCM of Fractions is 3432.Finally, LCM of Fractions for 3/572, 52/209, 88/369 is 3432.