Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/52, 570/72, 549/836 quickly i.e. 521550/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/52, 570/72, 549/836 is 521550/4.
LCM(75/52, 570/72, 549/836) = 521550/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/52,570/72,549/836
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 75,570,549
Least Common Multiple of Numerators i.e. LCM of 75,570,549 is 521550.
GCF of Denominators means GCF of 52,72,836 as per the given fractions.
GCF of 52,72,836 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,570,549
3 | 75, 570, 549 |
5 | 25, 190, 183 |
5, 38, 183 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 38 x 183 = 521550
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 75,570,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,570,549) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(75,570,549) x common factors =3 x 15 = 45
LCM(75,570,549) = ( 75 × 570 × 549 ) / 45
LCM(75,570,549) = 23469750 / 45
LCM(75,570,549) = 521550
Lets's calculate GCF of 52,72,836
2 | 52, 72, 836 |
2 | 26, 36, 418 |
13, 18, 209 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521550/4
Therefore the LCM of Fractions 75/52,570/72,549/836 is 521550/4
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 52,72,836 . The biggest common factor number is the GCF number.
So the greatest common factor 52,72,836 is 4.
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 75/52, 570/72, 549/836?
Answer: LCM of Numerators as per given numbers 75/52, 570/72, 549/836 is
LCM of Numerators i.e. for 75,570,549 is 521550
GCF of denominators i.e. for 52,72,836 is 4.
Thus, LCM of Fractions is 521550/4.Finally, LCM of Fractions for 75/52, 570/72, 549/836 is 521550/4.