Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/32, 101/66, 808/453 quickly i.e. 50904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/32, 101/66, 808/453 is 50904.
LCM(63/32, 101/66, 808/453) = 50904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/32,101/66,808/453
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 63,101,808
Least Common Multiple of Numerators i.e. LCM of 63,101,808 is 50904.
GCF of Denominators means GCF of 32,66,453 as per the given fractions.
GCF of 32,66,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,101,808
101 | 63, 101, 808 |
63, 1, 8 |
∴ So the LCM of the given numbers is 101 x 63 x 1 x 8 = 50904
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 63,101,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,101,808) = 1
common factors(in case of two or more numbers have common factors) = 101
GCF(63,101,808) x common factors =1 x 101 = 101
LCM(63,101,808) = ( 63 × 101 × 808 ) / 101
LCM(63,101,808) = 5141304 / 101
LCM(63,101,808) = 50904
Lets's calculate GCF of 32,66,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50904/1
Therefore the LCM of Fractions 63/32,101/66,808/453 is 50904
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 32,66,453 . The biggest common factor number is the GCF number.
So the greatest common factor 32,66,453 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 63/32, 101/66, 808/453?
Answer: LCM of Numerators as per given numbers 63/32, 101/66, 808/453 is
LCM of Numerators i.e. for 63,101,808 is 50904
GCF of denominators i.e. for 32,66,453 is 1.
Thus, LCM of Fractions is 50904.Finally, LCM of Fractions for 63/32, 101/66, 808/453 is 50904.