Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 107/72, 888/6348 quickly i.e. 7918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 107/72, 888/6348 is 7918.
LCM(107/72, 888/6348) = 7918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 107/72,888/6348
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 107,888
Least Common Multiple of Numerators i.e. LCM of 107,888 is 95016.
GCF of Denominators means GCF of 72,6348 as per the given fractions.
GCF of 72,6348 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 107,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 95016
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 107,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,888) x common factors =1 x 1 = 1
LCM(107,888) = ( 107 × 888 ) / 1
LCM(107,888) = 95016 / 1
LCM(107,888) = 95016
Lets's calculate GCF of 72,6348
2 | 72, 6348 |
2 | 36, 3174 |
3 | 18, 1587 |
6, 529 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95016/12
Therefore the LCM of Fractions 107/72,888/6348 is 7918
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 6348
List of positive integer factors of 6348 that divides 6348 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 72,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6348 is 12.
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 107/72, 888/6348?
Answer: LCM of Numerators as per given numbers 107/72, 888/6348 is
LCM of Numerators i.e. for 107,888 is 95016
GCF of denominators i.e. for 72,6348 is 12.
Thus, LCM of Fractions is 7918.Finally, LCM of Fractions for 107/72, 888/6348 is 7918.