Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/386, 56/984, 913/863 quickly i.e. 357896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/386, 56/984, 913/863 is 357896.
LCM(98/386, 56/984, 913/863) = 357896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/386,56/984,913/863
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 98,56,913
Least Common Multiple of Numerators i.e. LCM of 98,56,913 is 357896.
GCF of Denominators means GCF of 386,984,863 as per the given fractions.
GCF of 386,984,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,56,913
2 | 98, 56, 913 |
7 | 49, 28, 913 |
7, 4, 913 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 4 x 913 = 357896
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 98,56,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,56,913) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(98,56,913) x common factors =1 x 14 = 14
LCM(98,56,913) = ( 98 × 56 × 913 ) / 14
LCM(98,56,913) = 5010544 / 14
LCM(98,56,913) = 357896
Lets's calculate GCF of 386,984,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 357896/1
Therefore the LCM of Fractions 98/386,56/984,913/863 is 357896
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 386,984,863 . The biggest common factor number is the GCF number.
So the greatest common factor 386,984,863 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 98/386, 56/984, 913/863?
Answer: LCM of Numerators as per given numbers 98/386, 56/984, 913/863 is
LCM of Numerators i.e. for 98,56,913 is 357896
GCF of denominators i.e. for 386,984,863 is 1.
Thus, LCM of Fractions is 357896.Finally, LCM of Fractions for 98/386, 56/984, 913/863 is 357896.