Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9335/478, 7162/116 quickly i.e. 33428635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9335/478, 7162/116 is 33428635.
LCM(9335/478, 7162/116) = 33428635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9335/478,7162/116
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 9335,7162
Least Common Multiple of Numerators i.e. LCM of 9335,7162 is 66857270.
GCF of Denominators means GCF of 478,116 as per the given fractions.
GCF of 478,116 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9335,7162
Given numbers has no common factors except 1. So, there LCM is their product i.e 66857270
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 9335,7162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9335,7162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9335,7162) x common factors =1 x 1 = 1
LCM(9335,7162) = ( 9335 × 7162 ) / 1
LCM(9335,7162) = 66857270 / 1
LCM(9335,7162) = 66857270
Lets's calculate GCF of 478,116
2 | 478, 116 |
239, 58 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66857270/2
Therefore the LCM of Fractions 9335/478,7162/116 is 33428635
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 478,116 . The biggest common factor number is the GCF number.
So the greatest common factor 478,116 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 9335/478, 7162/116?
Answer: LCM of Numerators as per given numbers 9335/478, 7162/116 is
LCM of Numerators i.e. for 9335,7162 is 66857270
GCF of denominators i.e. for 478,116 is 2.
Thus, LCM of Fractions is 33428635.Finally, LCM of Fractions for 9335/478, 7162/116 is 33428635.