Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/104, 341/416, 982/847 quickly i.e. 9376136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/104, 341/416, 982/847 is 9376136.
LCM(56/104, 341/416, 982/847) = 9376136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/104,341/416,982/847
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 56,341,982
Least Common Multiple of Numerators i.e. LCM of 56,341,982 is 9376136.
GCF of Denominators means GCF of 104,416,847 as per the given fractions.
GCF of 104,416,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,341,982
2 | 56, 341, 982 |
28, 341, 491 |
∴ So the LCM of the given numbers is 2 x 28 x 341 x 491 = 9376136
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 56,341,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,341,982) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,341,982) x common factors =1 x 2 = 2
LCM(56,341,982) = ( 56 × 341 × 982 ) / 2
LCM(56,341,982) = 18752272 / 2
LCM(56,341,982) = 9376136
Lets's calculate GCF of 104,416,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9376136/1
Therefore the LCM of Fractions 56/104,341/416,982/847 is 9376136
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 104,416,847 . The biggest common factor number is the GCF number.
So the greatest common factor 104,416,847 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 56/104, 341/416, 982/847?
Answer: LCM of Numerators as per given numbers 56/104, 341/416, 982/847 is
LCM of Numerators i.e. for 56,341,982 is 9376136
GCF of denominators i.e. for 104,416,847 is 1.
Thus, LCM of Fractions is 9376136.Finally, LCM of Fractions for 56/104, 341/416, 982/847 is 9376136.