Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3747/630, 3397/2427 quickly i.e. 4242853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3747/630, 3397/2427 is 4242853.
LCM(3747/630, 3397/2427) = 4242853
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3747/630,3397/2427
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 3747,3397
Least Common Multiple of Numerators i.e. LCM of 3747,3397 is 12728559.
GCF of Denominators means GCF of 630,2427 as per the given fractions.
GCF of 630,2427 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3747,3397
Given numbers has no common factors except 1. So, there LCM is their product i.e 12728559
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 3747,3397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3747,3397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3747,3397) x common factors =1 x 1 = 1
LCM(3747,3397) = ( 3747 × 3397 ) / 1
LCM(3747,3397) = 12728559 / 1
LCM(3747,3397) = 12728559
Lets's calculate GCF of 630,2427
3 | 630, 2427 |
210, 809 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12728559/3
Therefore the LCM of Fractions 3747/630,3397/2427 is 4242853
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 2427
List of positive integer factors of 2427 that divides 2427 without a remainder.
1,3,809,2427
Greatest Common Factor
We found the factors 630,2427 . The biggest common factor number is the GCF number.
So the greatest common factor 630,2427 is 3.
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 3747/630, 3397/2427?
Answer: LCM of Numerators as per given numbers 3747/630, 3397/2427 is
LCM of Numerators i.e. for 3747,3397 is 12728559
GCF of denominators i.e. for 630,2427 is 3.
Thus, LCM of Fractions is 4242853.Finally, LCM of Fractions for 3747/630, 3397/2427 is 4242853.