Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 466/75, 490/76, 506/361 quickly i.e. 28885010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 466/75, 490/76, 506/361 is 28885010.
LCM(466/75, 490/76, 506/361) = 28885010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 466/75,490/76,506/361
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 466,490,506
Least Common Multiple of Numerators i.e. LCM of 466,490,506 is 28885010.
GCF of Denominators means GCF of 75,76,361 as per the given fractions.
GCF of 75,76,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 466,490,506
2 | 466, 490, 506 |
233, 245, 253 |
∴ So the LCM of the given numbers is 2 x 233 x 245 x 253 = 28885010
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 466,490,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,490,506) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(466,490,506) x common factors =2 x 2 = 4
LCM(466,490,506) = ( 466 × 490 × 506 ) / 4
LCM(466,490,506) = 115540040 / 4
LCM(466,490,506) = 28885010
Lets's calculate GCF of 75,76,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28885010/1
Therefore the LCM of Fractions 466/75,490/76,506/361 is 28885010
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 75,76,361 . The biggest common factor number is the GCF number.
So the greatest common factor 75,76,361 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 466/75, 490/76, 506/361?
Answer: LCM of Numerators as per given numbers 466/75, 490/76, 506/361 is
LCM of Numerators i.e. for 466,490,506 is 28885010
GCF of denominators i.e. for 75,76,361 is 1.
Thus, LCM of Fractions is 28885010.Finally, LCM of Fractions for 466/75, 490/76, 506/361 is 28885010.