Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 468/976, 5830/675 quickly i.e. 1364220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 468/976, 5830/675 is 1364220.
LCM(468/976, 5830/675) = 1364220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 468/976,5830/675
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 468,5830
Least Common Multiple of Numerators i.e. LCM of 468,5830 is 1364220.
GCF of Denominators means GCF of 976,675 as per the given fractions.
GCF of 976,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 468,5830
2 | 468, 5830 |
234, 2915 |
∴ So the LCM of the given numbers is 2 x 234 x 2915 = 1364220
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 468,5830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,5830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(468,5830) x common factors =2 x 1 = 2
LCM(468,5830) = ( 468 × 5830 ) / 2
LCM(468,5830) = 2728440 / 2
LCM(468,5830) = 1364220
Lets's calculate GCF of 976,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1364220/1
Therefore the LCM of Fractions 468/976,5830/675 is 1364220
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 976,675 . The biggest common factor number is the GCF number.
So the greatest common factor 976,675 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 468/976, 5830/675?
Answer: LCM of Numerators as per given numbers 468/976, 5830/675 is
LCM of Numerators i.e. for 468,5830 is 1364220
GCF of denominators i.e. for 976,675 is 1.
Thus, LCM of Fractions is 1364220.Finally, LCM of Fractions for 468/976, 5830/675 is 1364220.