Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 250/38, 411/91, 496/267 quickly i.e. 25482000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 250/38, 411/91, 496/267 is 25482000.
LCM(250/38, 411/91, 496/267) = 25482000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 250/38,411/91,496/267
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 250,411,496
Least Common Multiple of Numerators i.e. LCM of 250,411,496 is 25482000.
GCF of Denominators means GCF of 38,91,267 as per the given fractions.
GCF of 38,91,267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 250,411,496
2 | 250, 411, 496 |
125, 411, 248 |
∴ So the LCM of the given numbers is 2 x 125 x 411 x 248 = 25482000
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 250,411,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,411,496) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(250,411,496) x common factors =1 x 2 = 2
LCM(250,411,496) = ( 250 × 411 × 496 ) / 2
LCM(250,411,496) = 50964000 / 2
LCM(250,411,496) = 25482000
Lets's calculate GCF of 38,91,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25482000/1
Therefore the LCM of Fractions 250/38,411/91,496/267 is 25482000
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 38,91,267 . The biggest common factor number is the GCF number.
So the greatest common factor 38,91,267 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 250/38, 411/91, 496/267?
Answer: LCM of Numerators as per given numbers 250/38, 411/91, 496/267 is
LCM of Numerators i.e. for 250,411,496 is 25482000
GCF of denominators i.e. for 38,91,267 is 1.
Thus, LCM of Fractions is 25482000.Finally, LCM of Fractions for 250/38, 411/91, 496/267 is 25482000.