Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4167/74, 6234/872 quickly i.e. 4329513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4167/74, 6234/872 is 4329513.
LCM(4167/74, 6234/872) = 4329513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4167/74,6234/872
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 4167,6234
Least Common Multiple of Numerators i.e. LCM of 4167,6234 is 8659026.
GCF of Denominators means GCF of 74,872 as per the given fractions.
GCF of 74,872 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4167,6234
3 | 4167, 6234 |
1389, 2078 |
∴ So the LCM of the given numbers is 3 x 1389 x 2078 = 8659026
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 4167,6234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4167,6234) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4167,6234) x common factors =3 x 1 = 3
LCM(4167,6234) = ( 4167 × 6234 ) / 3
LCM(4167,6234) = 25977078 / 3
LCM(4167,6234) = 8659026
Lets's calculate GCF of 74,872
2 | 74, 872 |
37, 436 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8659026/2
Therefore the LCM of Fractions 4167/74,6234/872 is 4329513
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 74,872 . The biggest common factor number is the GCF number.
So the greatest common factor 74,872 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 4167/74, 6234/872?
Answer: LCM of Numerators as per given numbers 4167/74, 6234/872 is
LCM of Numerators i.e. for 4167,6234 is 8659026
GCF of denominators i.e. for 74,872 is 2.
Thus, LCM of Fractions is 4329513.Finally, LCM of Fractions for 4167/74, 6234/872 is 4329513.