Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 394/94, 510/41, 490/422 quickly i.e. 4923030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 394/94, 510/41, 490/422 is 4923030.
LCM(394/94, 510/41, 490/422) = 4923030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 394/94,510/41,490/422
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 394,510,490
Least Common Multiple of Numerators i.e. LCM of 394,510,490 is 4923030.
GCF of Denominators means GCF of 94,41,422 as per the given fractions.
GCF of 94,41,422 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 394,510,490
2 | 394, 510, 490 |
5 | 197, 255, 245 |
197, 51, 49 |
∴ So the LCM of the given numbers is 2 x 5 x 197 x 51 x 49 = 4923030
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 394,510,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,510,490) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(394,510,490) x common factors =2 x 10 = 20
LCM(394,510,490) = ( 394 × 510 × 490 ) / 20
LCM(394,510,490) = 98460600 / 20
LCM(394,510,490) = 4923030
Lets's calculate GCF of 94,41,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4923030/1
Therefore the LCM of Fractions 394/94,510/41,490/422 is 4923030
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 94,41,422 . The biggest common factor number is the GCF number.
So the greatest common factor 94,41,422 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 394/94, 510/41, 490/422?
Answer: LCM of Numerators as per given numbers 394/94, 510/41, 490/422 is
LCM of Numerators i.e. for 394,510,490 is 4923030
GCF of denominators i.e. for 94,41,422 is 1.
Thus, LCM of Fractions is 4923030.Finally, LCM of Fractions for 394/94, 510/41, 490/422 is 4923030.