Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9478/667, 5262/2276 quickly i.e. 24936618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9478/667, 5262/2276 is 24936618.
LCM(9478/667, 5262/2276) = 24936618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9478/667,5262/2276
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 9478,5262
Least Common Multiple of Numerators i.e. LCM of 9478,5262 is 24936618.
GCF of Denominators means GCF of 667,2276 as per the given fractions.
GCF of 667,2276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9478,5262
2 | 9478, 5262 |
4739, 2631 |
∴ So the LCM of the given numbers is 2 x 4739 x 2631 = 24936618
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 9478,5262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9478,5262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9478,5262) x common factors =2 x 1 = 2
LCM(9478,5262) = ( 9478 × 5262 ) / 2
LCM(9478,5262) = 49873236 / 2
LCM(9478,5262) = 24936618
Lets's calculate GCF of 667,2276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24936618/1
Therefore the LCM of Fractions 9478/667,5262/2276 is 24936618
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 2276
List of positive integer factors of 2276 that divides 2276 without a remainder.
1,2,4,569,1138,2276
Greatest Common Factor
We found the factors 667,2276 . The biggest common factor number is the GCF number.
So the greatest common factor 667,2276 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 9478/667, 5262/2276?
Answer: LCM of Numerators as per given numbers 9478/667, 5262/2276 is
LCM of Numerators i.e. for 9478,5262 is 24936618
GCF of denominators i.e. for 667,2276 is 1.
Thus, LCM of Fractions is 24936618.Finally, LCM of Fractions for 9478/667, 5262/2276 is 24936618.