Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/522, 9374/4864 quickly i.e. 210915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/522, 9374/4864 is 210915.
LCM(90/522, 9374/4864) = 210915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/522,9374/4864
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 90,9374
Least Common Multiple of Numerators i.e. LCM of 90,9374 is 421830.
GCF of Denominators means GCF of 522,4864 as per the given fractions.
GCF of 522,4864 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,9374
2 | 90, 9374 |
45, 4687 |
∴ So the LCM of the given numbers is 2 x 45 x 4687 = 421830
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 90,9374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,9374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,9374) x common factors =2 x 1 = 2
LCM(90,9374) = ( 90 × 9374 ) / 2
LCM(90,9374) = 843660 / 2
LCM(90,9374) = 421830
Lets's calculate GCF of 522,4864
2 | 522, 4864 |
261, 2432 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421830/2
Therefore the LCM of Fractions 90/522,9374/4864 is 210915
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 4864
List of positive integer factors of 4864 that divides 4864 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,608,1216,2432,4864
Greatest Common Factor
We found the factors 522,4864 . The biggest common factor number is the GCF number.
So the greatest common factor 522,4864 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 90/522, 9374/4864?
Answer: LCM of Numerators as per given numbers 90/522, 9374/4864 is
LCM of Numerators i.e. for 90,9374 is 421830
GCF of denominators i.e. for 522,4864 is 2.
Thus, LCM of Fractions is 210915.Finally, LCM of Fractions for 90/522, 9374/4864 is 210915.