Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/82, 14/440, 111/820 quickly i.e. 2331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/82, 14/440, 111/820 is 2331.
LCM(63/82, 14/440, 111/820) = 2331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/82,14/440,111/820
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 63,14,111
Least Common Multiple of Numerators i.e. LCM of 63,14,111 is 4662.
GCF of Denominators means GCF of 82,440,820 as per the given fractions.
GCF of 82,440,820 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,14,111
3 | 63, 14, 111 |
7 | 21, 14, 37 |
3, 2, 37 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 2 x 37 = 4662
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 63,14,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,14,111) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(63,14,111) x common factors =1 x 21 = 21
LCM(63,14,111) = ( 63 × 14 × 111 ) / 21
LCM(63,14,111) = 97902 / 21
LCM(63,14,111) = 4662
Lets's calculate GCF of 82,440,820
2 | 82, 440, 820 |
41, 220, 410 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4662/2
Therefore the LCM of Fractions 63/82,14/440,111/820 is 2331
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
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 82,440,820 . The biggest common factor number is the GCF number.
So the greatest common factor 82,440,820 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 63/82, 14/440, 111/820?
Answer: LCM of Numerators as per given numbers 63/82, 14/440, 111/820 is
LCM of Numerators i.e. for 63,14,111 is 4662
GCF of denominators i.e. for 82,440,820 is 2.
Thus, LCM of Fractions is 2331.Finally, LCM of Fractions for 63/82, 14/440, 111/820 is 2331.