Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/147, 981/380, 981/820 quickly i.e. 6867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/147, 981/380, 981/820 is 6867.
LCM(63/147, 981/380, 981/820) = 6867
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/147,981/380,981/820
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 63,981,981
Least Common Multiple of Numerators i.e. LCM of 63,981,981 is 6867.
GCF of Denominators means GCF of 147,380,820 as per the given fractions.
GCF of 147,380,820 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,981,981
3 | 63, 981, 981 |
3 | 21, 327, 327 |
109 | 7, 109, 109 |
7, 1, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 109 x 7 x 1 x 1 = 6867
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 63,981,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,981,981) = 9
common factors(in case of two or more numbers have common factors) = 981
GCF(63,981,981) x common factors =9 x 981 = 8829
LCM(63,981,981) = ( 63 × 981 × 981 ) / 8829
LCM(63,981,981) = 60628743 / 8829
LCM(63,981,981) = 6867
Lets's calculate GCF of 147,380,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6867/1
Therefore the LCM of Fractions 63/147,981/380,981/820 is 6867
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 147,380,820 . The biggest common factor number is the GCF number.
So the greatest common factor 147,380,820 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 63/147, 981/380, 981/820?
Answer: LCM of Numerators as per given numbers 63/147, 981/380, 981/820 is
LCM of Numerators i.e. for 63,981,981 is 6867
GCF of denominators i.e. for 147,380,820 is 1.
Thus, LCM of Fractions is 6867.Finally, LCM of Fractions for 63/147, 981/380, 981/820 is 6867.