Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1446/52, 3298/426 quickly i.e. 1192227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1446/52, 3298/426 is 1192227.
LCM(1446/52, 3298/426) = 1192227
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1446/52,3298/426
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 1446,3298
Least Common Multiple of Numerators i.e. LCM of 1446,3298 is 2384454.
GCF of Denominators means GCF of 52,426 as per the given fractions.
GCF of 52,426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1446,3298
2 | 1446, 3298 |
723, 1649 |
∴ So the LCM of the given numbers is 2 x 723 x 1649 = 2384454
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 1446,3298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1446,3298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1446,3298) x common factors =2 x 1 = 2
LCM(1446,3298) = ( 1446 × 3298 ) / 2
LCM(1446,3298) = 4768908 / 2
LCM(1446,3298) = 2384454
Lets's calculate GCF of 52,426
2 | 52, 426 |
26, 213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2384454/2
Therefore the LCM of Fractions 1446/52,3298/426 is 1192227
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 52,426 . The biggest common factor number is the GCF number.
So the greatest common factor 52,426 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 1446/52, 3298/426?
Answer: LCM of Numerators as per given numbers 1446/52, 3298/426 is
LCM of Numerators i.e. for 1446,3298 is 2384454
GCF of denominators i.e. for 52,426 is 2.
Thus, LCM of Fractions is 1192227.Finally, LCM of Fractions for 1446/52, 3298/426 is 1192227.