Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 614/24, 712/4094 quickly i.e. 109292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 614/24, 712/4094 is 109292.
LCM(614/24, 712/4094) = 109292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 614/24,712/4094
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 614,712
Least Common Multiple of Numerators i.e. LCM of 614,712 is 218584.
GCF of Denominators means GCF of 24,4094 as per the given fractions.
GCF of 24,4094 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 614,712
2 | 614, 712 |
307, 356 |
∴ So the LCM of the given numbers is 2 x 307 x 356 = 218584
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 614,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,712) x common factors =2 x 1 = 2
LCM(614,712) = ( 614 × 712 ) / 2
LCM(614,712) = 437168 / 2
LCM(614,712) = 218584
Lets's calculate GCF of 24,4094
2 | 24, 4094 |
12, 2047 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218584/2
Therefore the LCM of Fractions 614/24,712/4094 is 109292
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 4094
List of positive integer factors of 4094 that divides 4094 without a remainder.
1,2,23,46,89,178,2047,4094
Greatest Common Factor
We found the factors 24,4094 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4094 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 614/24, 712/4094?
Answer: LCM of Numerators as per given numbers 614/24, 712/4094 is
LCM of Numerators i.e. for 614,712 is 218584
GCF of denominators i.e. for 24,4094 is 2.
Thus, LCM of Fractions is 109292.Finally, LCM of Fractions for 614/24, 712/4094 is 109292.