Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 978/42, 990/8935 quickly i.e. 161370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 978/42, 990/8935 is 161370.
LCM(978/42, 990/8935) = 161370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 978/42,990/8935
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 978,990
Least Common Multiple of Numerators i.e. LCM of 978,990 is 161370.
GCF of Denominators means GCF of 42,8935 as per the given fractions.
GCF of 42,8935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 978,990
2 | 978, 990 |
3 | 489, 495 |
163, 165 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 165 = 161370
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 978,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,990) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,990) x common factors =6 x 1 = 6
LCM(978,990) = ( 978 × 990 ) / 6
LCM(978,990) = 968220 / 6
LCM(978,990) = 161370
Lets's calculate GCF of 42,8935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161370/1
Therefore the LCM of Fractions 978/42,990/8935 is 161370
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 8935
List of positive integer factors of 8935 that divides 8935 without a remainder.
1,5,1787,8935
Greatest Common Factor
We found the factors 42,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8935 is 1.
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 978/42, 990/8935?
Answer: LCM of Numerators as per given numbers 978/42, 990/8935 is
LCM of Numerators i.e. for 978,990 is 161370
GCF of denominators i.e. for 42,8935 is 1.
Thus, LCM of Fractions is 161370.Finally, LCM of Fractions for 978/42, 990/8935 is 161370.