Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/66, 209/15, 630/464 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/66, 209/15, 630/464 is 131670.
LCM(90/66, 209/15, 630/464) = 131670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/66,209/15,630/464
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 90,209,630
Least Common Multiple of Numerators i.e. LCM of 90,209,630 is 131670.
GCF of Denominators means GCF of 66,15,464 as per the given fractions.
GCF of 66,15,464 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,209,630
2 | 90, 209, 630 |
3 | 45, 209, 315 |
3 | 15, 209, 105 |
5 | 5, 209, 35 |
1, 209, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 209 x 7 = 131670
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 90,209,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,209,630) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(90,209,630) x common factors =1 x 90 = 90
LCM(90,209,630) = ( 90 × 209 × 630 ) / 90
LCM(90,209,630) = 11850300 / 90
LCM(90,209,630) = 131670
Lets's calculate GCF of 66,15,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1
Therefore the LCM of Fractions 90/66,209/15,630/464 is 131670
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 66,15,464 . The biggest common factor number is the GCF number.
So the greatest common factor 66,15,464 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 90/66, 209/15, 630/464?
Answer: LCM of Numerators as per given numbers 90/66, 209/15, 630/464 is
LCM of Numerators i.e. for 90,209,630 is 131670
GCF of denominators i.e. for 66,15,464 is 1.
Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 90/66, 209/15, 630/464 is 131670.