Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/78, 358/9063 quickly i.e. 296066/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/78, 358/9063 is 296066/3.
LCM(827/78, 358/9063) = 296066/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/78,358/9063
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 827,358
Least Common Multiple of Numerators i.e. LCM of 827,358 is 296066.
GCF of Denominators means GCF of 78,9063 as per the given fractions.
GCF of 78,9063 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 296066
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 827,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,358) x common factors =1 x 1 = 1
LCM(827,358) = ( 827 × 358 ) / 1
LCM(827,358) = 296066 / 1
LCM(827,358) = 296066
Lets's calculate GCF of 78,9063
3 | 78, 9063 |
26, 3021 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296066/3
Therefore the LCM of Fractions 827/78,358/9063 is 296066/3
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 9063
List of positive integer factors of 9063 that divides 9063 without a remainder.
1,3,9,19,53,57,159,171,477,1007,3021,9063
Greatest Common Factor
We found the factors 78,9063 . The biggest common factor number is the GCF number.
So the greatest common factor 78,9063 is 3.
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 827/78, 358/9063?
Answer: LCM of Numerators as per given numbers 827/78, 358/9063 is
LCM of Numerators i.e. for 827,358 is 296066
GCF of denominators i.e. for 78,9063 is 3.
Thus, LCM of Fractions is 296066/3.Finally, LCM of Fractions for 827/78, 358/9063 is 296066/3.