Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 772/32, 363/88, 717/300 quickly i.e. 16744101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 772/32, 363/88, 717/300 is 16744101.
LCM(772/32, 363/88, 717/300) = 16744101
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 772/32,363/88,717/300
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 772,363,717
Least Common Multiple of Numerators i.e. LCM of 772,363,717 is 66976404.
GCF of Denominators means GCF of 32,88,300 as per the given fractions.
GCF of 32,88,300 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 772,363,717
3 | 772, 363, 717 |
772, 121, 239 |
∴ So the LCM of the given numbers is 3 x 772 x 121 x 239 = 66976404
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 772,363,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,363,717) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(772,363,717) x common factors =1 x 3 = 3
LCM(772,363,717) = ( 772 × 363 × 717 ) / 3
LCM(772,363,717) = 200929212 / 3
LCM(772,363,717) = 66976404
Lets's calculate GCF of 32,88,300
2 | 32, 88, 300 |
2 | 16, 44, 150 |
8, 22, 75 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66976404/4
Therefore the LCM of Fractions 772/32,363/88,717/300 is 16744101
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 32,88,300 . The biggest common factor number is the GCF number.
So the greatest common factor 32,88,300 is 4.
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 772/32, 363/88, 717/300?
Answer: LCM of Numerators as per given numbers 772/32, 363/88, 717/300 is
LCM of Numerators i.e. for 772,363,717 is 66976404
GCF of denominators i.e. for 32,88,300 is 4.
Thus, LCM of Fractions is 16744101.Finally, LCM of Fractions for 772/32, 363/88, 717/300 is 16744101.