Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/90, 22/386, 62/393 quickly i.e. 2046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/90, 22/386, 62/393 is 2046.
LCM(3/90, 22/386, 62/393) = 2046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/90,22/386,62/393
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 3,22,62
Least Common Multiple of Numerators i.e. LCM of 3,22,62 is 2046.
GCF of Denominators means GCF of 90,386,393 as per the given fractions.
GCF of 90,386,393 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,22,62
2 | 3, 22, 62 |
3, 11, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 = 2046
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 3,22,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,22,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(3,22,62) x common factors =1 x 2 = 2
LCM(3,22,62) = ( 3 × 22 × 62 ) / 2
LCM(3,22,62) = 4092 / 2
LCM(3,22,62) = 2046
Lets's calculate GCF of 90,386,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2046/1
Therefore the LCM of Fractions 3/90,22/386,62/393 is 2046
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
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 90,386,393 . The biggest common factor number is the GCF number.
So the greatest common factor 90,386,393 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 3/90, 22/386, 62/393?
Answer: LCM of Numerators as per given numbers 3/90, 22/386, 62/393 is
LCM of Numerators i.e. for 3,22,62 is 2046
GCF of denominators i.e. for 90,386,393 is 1.
Thus, LCM of Fractions is 2046.Finally, LCM of Fractions for 3/90, 22/386, 62/393 is 2046.