Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 390/922, 9965/796 quickly i.e. 388635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 390/922, 9965/796 is 388635.
LCM(390/922, 9965/796) = 388635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 390/922,9965/796
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 390,9965
Least Common Multiple of Numerators i.e. LCM of 390,9965 is 777270.
GCF of Denominators means GCF of 922,796 as per the given fractions.
GCF of 922,796 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 390,9965
5 | 390, 9965 |
78, 1993 |
∴ So the LCM of the given numbers is 5 x 78 x 1993 = 777270
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 390,9965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,9965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(390,9965) x common factors =5 x 1 = 5
LCM(390,9965) = ( 390 × 9965 ) / 5
LCM(390,9965) = 3886350 / 5
LCM(390,9965) = 777270
Lets's calculate GCF of 922,796
2 | 922, 796 |
461, 398 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 777270/2
Therefore the LCM of Fractions 390/922,9965/796 is 388635
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 922,796 . The biggest common factor number is the GCF number.
So the greatest common factor 922,796 is 2.
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 390/922, 9965/796?
Answer: LCM of Numerators as per given numbers 390/922, 9965/796 is
LCM of Numerators i.e. for 390,9965 is 777270
GCF of denominators i.e. for 922,796 is 2.
Thus, LCM of Fractions is 388635.Finally, LCM of Fractions for 390/922, 9965/796 is 388635.