Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/980, 838/788, 684/197 quickly i.e. 13470012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/980, 838/788, 684/197 is 13470012.
LCM(47/980, 838/788, 684/197) = 13470012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/980,838/788,684/197
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 47,838,684
Least Common Multiple of Numerators i.e. LCM of 47,838,684 is 13470012.
GCF of Denominators means GCF of 980,788,197 as per the given fractions.
GCF of 980,788,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,838,684
2 | 47, 838, 684 |
47, 419, 342 |
∴ So the LCM of the given numbers is 2 x 47 x 419 x 342 = 13470012
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 47,838,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,838,684) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,838,684) x common factors =1 x 2 = 2
LCM(47,838,684) = ( 47 × 838 × 684 ) / 2
LCM(47,838,684) = 26940024 / 2
LCM(47,838,684) = 13470012
Lets's calculate GCF of 980,788,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13470012/1
Therefore the LCM of Fractions 47/980,838/788,684/197 is 13470012
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 980,788,197 . The biggest common factor number is the GCF number.
So the greatest common factor 980,788,197 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 47/980, 838/788, 684/197?
Answer: LCM of Numerators as per given numbers 47/980, 838/788, 684/197 is
LCM of Numerators i.e. for 47,838,684 is 13470012
GCF of denominators i.e. for 980,788,197 is 1.
Thus, LCM of Fractions is 13470012.Finally, LCM of Fractions for 47/980, 838/788, 684/197 is 13470012.