Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/714, 548/796, 721/198 quickly i.e. 16396982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/714, 548/796, 721/198 is 16396982.
LCM(83/714, 548/796, 721/198) = 16396982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/714,548/796,721/198
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 83,548,721
Least Common Multiple of Numerators i.e. LCM of 83,548,721 is 32793964.
GCF of Denominators means GCF of 714,796,198 as per the given fractions.
GCF of 714,796,198 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,548,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 32793964
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 83,548,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,548,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,548,721) x common factors =1 x 1 = 1
LCM(83,548,721) = ( 83 × 548 × 721 ) / 1
LCM(83,548,721) = 32793964 / 1
LCM(83,548,721) = 32793964
Lets's calculate GCF of 714,796,198
2 | 714, 796, 198 |
357, 398, 99 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32793964/2
Therefore the LCM of Fractions 83/714,548/796,721/198 is 16396982
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 714,796,198 . The biggest common factor number is the GCF number.
So the greatest common factor 714,796,198 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 83/714, 548/796, 721/198?
Answer: LCM of Numerators as per given numbers 83/714, 548/796, 721/198 is
LCM of Numerators i.e. for 83,548,721 is 32793964
GCF of denominators i.e. for 714,796,198 is 2.
Thus, LCM of Fractions is 16396982.Finally, LCM of Fractions for 83/714, 548/796, 721/198 is 16396982.