Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/401, 290/589, 386/736 quickly i.e. 3749990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/401, 290/589, 386/736 is 3749990.
LCM(67/401, 290/589, 386/736) = 3749990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/401,290/589,386/736
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 67,290,386
Least Common Multiple of Numerators i.e. LCM of 67,290,386 is 3749990.
GCF of Denominators means GCF of 401,589,736 as per the given fractions.
GCF of 401,589,736 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,290,386
2 | 67, 290, 386 |
67, 145, 193 |
∴ So the LCM of the given numbers is 2 x 67 x 145 x 193 = 3749990
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 67,290,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,290,386) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,290,386) x common factors =1 x 2 = 2
LCM(67,290,386) = ( 67 × 290 × 386 ) / 2
LCM(67,290,386) = 7499980 / 2
LCM(67,290,386) = 3749990
Lets's calculate GCF of 401,589,736
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3749990/1
Therefore the LCM of Fractions 67/401,290/589,386/736 is 3749990
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 401,589,736 . The biggest common factor number is the GCF number.
So the greatest common factor 401,589,736 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 67/401, 290/589, 386/736?
Answer: LCM of Numerators as per given numbers 67/401, 290/589, 386/736 is
LCM of Numerators i.e. for 67,290,386 is 3749990
GCF of denominators i.e. for 401,589,736 is 1.
Thus, LCM of Fractions is 3749990.Finally, LCM of Fractions for 67/401, 290/589, 386/736 is 3749990.