Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/36, 682/35, 812/981 quickly i.e. 181918044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/36, 682/35, 812/981 is 181918044.
LCM(657/36, 682/35, 812/981) = 181918044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/36,682/35,812/981
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 657,682,812
Least Common Multiple of Numerators i.e. LCM of 657,682,812 is 181918044.
GCF of Denominators means GCF of 36,35,981 as per the given fractions.
GCF of 36,35,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,682,812
2 | 657, 682, 812 |
657, 341, 406 |
∴ So the LCM of the given numbers is 2 x 657 x 341 x 406 = 181918044
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 657,682,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,682,812) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(657,682,812) x common factors =1 x 2 = 2
LCM(657,682,812) = ( 657 × 682 × 812 ) / 2
LCM(657,682,812) = 363836088 / 2
LCM(657,682,812) = 181918044
Lets's calculate GCF of 36,35,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181918044/1
Therefore the LCM of Fractions 657/36,682/35,812/981 is 181918044
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 36,35,981 . The biggest common factor number is the GCF number.
So the greatest common factor 36,35,981 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 657/36, 682/35, 812/981?
Answer: LCM of Numerators as per given numbers 657/36, 682/35, 812/981 is
LCM of Numerators i.e. for 657,682,812 is 181918044
GCF of denominators i.e. for 36,35,981 is 1.
Thus, LCM of Fractions is 181918044.Finally, LCM of Fractions for 657/36, 682/35, 812/981 is 181918044.