Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/978, 86/294, 78/358 quickly i.e. 5031 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/978, 86/294, 78/358 is 5031.
LCM(9/978, 86/294, 78/358) = 5031
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/978,86/294,78/358
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 9,86,78
Least Common Multiple of Numerators i.e. LCM of 9,86,78 is 10062.
GCF of Denominators means GCF of 978,294,358 as per the given fractions.
GCF of 978,294,358 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,86,78
2 | 9, 86, 78 |
3 | 9, 43, 39 |
3, 43, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 13 = 10062
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 9,86,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,86,78) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(9,86,78) x common factors =1 x 6 = 6
LCM(9,86,78) = ( 9 × 86 × 78 ) / 6
LCM(9,86,78) = 60372 / 6
LCM(9,86,78) = 10062
Lets's calculate GCF of 978,294,358
2 | 978, 294, 358 |
489, 147, 179 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10062/2
Therefore the LCM of Fractions 9/978,86/294,78/358 is 5031
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 978,294,358 . The biggest common factor number is the GCF number.
So the greatest common factor 978,294,358 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 9/978, 86/294, 78/358?
Answer: LCM of Numerators as per given numbers 9/978, 86/294, 78/358 is
LCM of Numerators i.e. for 9,86,78 is 10062
GCF of denominators i.e. for 978,294,358 is 2.
Thus, LCM of Fractions is 5031.Finally, LCM of Fractions for 9/978, 86/294, 78/358 is 5031.