Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/372, 8907/8069 quickly i.e. 231582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/372, 8907/8069 is 231582.
LCM(78/372, 8907/8069) = 231582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/372,8907/8069
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 78,8907
Least Common Multiple of Numerators i.e. LCM of 78,8907 is 231582.
GCF of Denominators means GCF of 372,8069 as per the given fractions.
GCF of 372,8069 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,8907
3 | 78, 8907 |
26, 2969 |
∴ So the LCM of the given numbers is 3 x 26 x 2969 = 231582
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 78,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,8907) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(78,8907) x common factors =3 x 1 = 3
LCM(78,8907) = ( 78 × 8907 ) / 3
LCM(78,8907) = 694746 / 3
LCM(78,8907) = 231582
Lets's calculate GCF of 372,8069
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231582/1
Therefore the LCM of Fractions 78/372,8907/8069 is 231582
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 8069
List of positive integer factors of 8069 that divides 8069 without a remainder.
1,8069
Greatest Common Factor
We found the factors 372,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 372,8069 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 78/372, 8907/8069?
Answer: LCM of Numerators as per given numbers 78/372, 8907/8069 is
LCM of Numerators i.e. for 78,8907 is 231582
GCF of denominators i.e. for 372,8069 is 1.
Thus, LCM of Fractions is 231582.Finally, LCM of Fractions for 78/372, 8907/8069 is 231582.