Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/378, 7785/9220 quickly i.e. 615015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/378, 7785/9220 is 615015/2.
LCM(79/378, 7785/9220) = 615015/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/378,7785/9220
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 79,7785
Least Common Multiple of Numerators i.e. LCM of 79,7785 is 615015.
GCF of Denominators means GCF of 378,9220 as per the given fractions.
GCF of 378,9220 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,7785
Given numbers has no common factors except 1. So, there LCM is their product i.e 615015
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 79,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,7785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,7785) x common factors =1 x 1 = 1
LCM(79,7785) = ( 79 × 7785 ) / 1
LCM(79,7785) = 615015 / 1
LCM(79,7785) = 615015
Lets's calculate GCF of 378,9220
2 | 378, 9220 |
189, 4610 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615015/2
Therefore the LCM of Fractions 79/378,7785/9220 is 615015/2
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 9220
List of positive integer factors of 9220 that divides 9220 without a remainder.
1,2,4,5,10,20,461,922,1844,2305,4610,9220
Greatest Common Factor
We found the factors 378,9220 . The biggest common factor number is the GCF number.
So the greatest common factor 378,9220 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 79/378, 7785/9220?
Answer: LCM of Numerators as per given numbers 79/378, 7785/9220 is
LCM of Numerators i.e. for 79,7785 is 615015
GCF of denominators i.e. for 378,9220 is 2.
Thus, LCM of Fractions is 615015/2.Finally, LCM of Fractions for 79/378, 7785/9220 is 615015/2.