Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/658, 46/838, 451/393 quickly i.e. 933570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/658, 46/838, 451/393 is 933570.
LCM(90/658, 46/838, 451/393) = 933570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/658,46/838,451/393
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 90,46,451
Least Common Multiple of Numerators i.e. LCM of 90,46,451 is 933570.
GCF of Denominators means GCF of 658,838,393 as per the given fractions.
GCF of 658,838,393 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,46,451
2 | 90, 46, 451 |
45, 23, 451 |
∴ So the LCM of the given numbers is 2 x 45 x 23 x 451 = 933570
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 90,46,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,46,451) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,46,451) x common factors =1 x 2 = 2
LCM(90,46,451) = ( 90 × 46 × 451 ) / 2
LCM(90,46,451) = 1867140 / 2
LCM(90,46,451) = 933570
Lets's calculate GCF of 658,838,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 933570/1
Therefore the LCM of Fractions 90/658,46/838,451/393 is 933570
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 658,838,393 . The biggest common factor number is the GCF number.
So the greatest common factor 658,838,393 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 90/658, 46/838, 451/393?
Answer: LCM of Numerators as per given numbers 90/658, 46/838, 451/393 is
LCM of Numerators i.e. for 90,46,451 is 933570
GCF of denominators i.e. for 658,838,393 is 1.
Thus, LCM of Fractions is 933570.Finally, LCM of Fractions for 90/658, 46/838, 451/393 is 933570.