Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3646/597, 3874/412 quickly i.e. 7062302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3646/597, 3874/412 is 7062302.
LCM(3646/597, 3874/412) = 7062302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3646/597,3874/412
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 3646,3874
Least Common Multiple of Numerators i.e. LCM of 3646,3874 is 7062302.
GCF of Denominators means GCF of 597,412 as per the given fractions.
GCF of 597,412 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3646,3874
2 | 3646, 3874 |
1823, 1937 |
∴ So the LCM of the given numbers is 2 x 1823 x 1937 = 7062302
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 3646,3874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3646,3874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3646,3874) x common factors =2 x 1 = 2
LCM(3646,3874) = ( 3646 × 3874 ) / 2
LCM(3646,3874) = 14124604 / 2
LCM(3646,3874) = 7062302
Lets's calculate GCF of 597,412
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7062302/1
Therefore the LCM of Fractions 3646/597,3874/412 is 7062302
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 597,412 . The biggest common factor number is the GCF number.
So the greatest common factor 597,412 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 3646/597, 3874/412?
Answer: LCM of Numerators as per given numbers 3646/597, 3874/412 is
LCM of Numerators i.e. for 3646,3874 is 7062302
GCF of denominators i.e. for 597,412 is 1.
Thus, LCM of Fractions is 7062302.Finally, LCM of Fractions for 3646/597, 3874/412 is 7062302.