Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/16, 8752/624 quickly i.e. 337499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/16, 8752/624 is 337499.
LCM(617/16, 8752/624) = 337499
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/16,8752/624
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 617,8752
Least Common Multiple of Numerators i.e. LCM of 617,8752 is 5399984.
GCF of Denominators means GCF of 16,624 as per the given fractions.
GCF of 16,624 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,8752
Given numbers has no common factors except 1. So, there LCM is their product i.e 5399984
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 617,8752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,8752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,8752) x common factors =1 x 1 = 1
LCM(617,8752) = ( 617 × 8752 ) / 1
LCM(617,8752) = 5399984 / 1
LCM(617,8752) = 5399984
Lets's calculate GCF of 16,624
2 | 16, 624 |
2 | 8, 312 |
2 | 4, 156 |
2 | 2, 78 |
1, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5399984/16
Therefore the LCM of Fractions 617/16,8752/624 is 337499
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 16,624 . The biggest common factor number is the GCF number.
So the greatest common factor 16,624 is 16.
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 617/16, 8752/624?
Answer: LCM of Numerators as per given numbers 617/16, 8752/624 is
LCM of Numerators i.e. for 617,8752 is 5399984
GCF of denominators i.e. for 16,624 is 16.
Thus, LCM of Fractions is 337499.Finally, LCM of Fractions for 617/16, 8752/624 is 337499.