Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/75, 171/50, 844/460 quickly i.e. 1010268/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/75, 171/50, 844/460 is 1010268/5.
LCM(63/75, 171/50, 844/460) = 1010268/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/75,171/50,844/460
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 63,171,844
Least Common Multiple of Numerators i.e. LCM of 63,171,844 is 1010268.
GCF of Denominators means GCF of 75,50,460 as per the given fractions.
GCF of 75,50,460 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,171,844
3 | 63, 171, 844 |
3 | 21, 57, 844 |
7, 19, 844 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 19 x 844 = 1010268
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 63,171,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,171,844) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(63,171,844) x common factors =1 x 9 = 9
LCM(63,171,844) = ( 63 × 171 × 844 ) / 9
LCM(63,171,844) = 9092412 / 9
LCM(63,171,844) = 1010268
Lets's calculate GCF of 75,50,460
5 | 75, 50, 460 |
15, 10, 92 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010268/5
Therefore the LCM of Fractions 63/75,171/50,844/460 is 1010268/5
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 75,50,460 . The biggest common factor number is the GCF number.
So the greatest common factor 75,50,460 is 5.
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 63/75, 171/50, 844/460?
Answer: LCM of Numerators as per given numbers 63/75, 171/50, 844/460 is
LCM of Numerators i.e. for 63,171,844 is 1010268
GCF of denominators i.e. for 75,50,460 is 5.
Thus, LCM of Fractions is 1010268/5.Finally, LCM of Fractions for 63/75, 171/50, 844/460 is 1010268/5.