Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 828/34, 963/4604 quickly i.e. 44298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 828/34, 963/4604 is 44298.
LCM(828/34, 963/4604) = 44298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 828/34,963/4604
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 828,963
Least Common Multiple of Numerators i.e. LCM of 828,963 is 88596.
GCF of Denominators means GCF of 34,4604 as per the given fractions.
GCF of 34,4604 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 828,963
3 | 828, 963 |
3 | 276, 321 |
92, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 92 x 107 = 88596
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 828,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,963) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(828,963) x common factors =9 x 1 = 9
LCM(828,963) = ( 828 × 963 ) / 9
LCM(828,963) = 797364 / 9
LCM(828,963) = 88596
Lets's calculate GCF of 34,4604
2 | 34, 4604 |
17, 2302 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88596/2
Therefore the LCM of Fractions 828/34,963/4604 is 44298
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 4604
List of positive integer factors of 4604 that divides 4604 without a remainder.
1,2,4,1151,2302,4604
Greatest Common Factor
We found the factors 34,4604 . The biggest common factor number is the GCF number.
So the greatest common factor 34,4604 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 828/34, 963/4604?
Answer: LCM of Numerators as per given numbers 828/34, 963/4604 is
LCM of Numerators i.e. for 828,963 is 88596
GCF of denominators i.e. for 34,4604 is 2.
Thus, LCM of Fractions is 44298.Finally, LCM of Fractions for 828/34, 963/4604 is 44298.