Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/18, 810/65, 246/32 quickly i.e. 15176970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/18, 810/65, 246/32 is 15176970.
LCM(457/18, 810/65, 246/32) = 15176970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/18,810/65,246/32
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 457,810,246
Least Common Multiple of Numerators i.e. LCM of 457,810,246 is 15176970.
GCF of Denominators means GCF of 18,65,32 as per the given fractions.
GCF of 18,65,32 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,810,246
2 | 457, 810, 246 |
3 | 457, 405, 123 |
457, 135, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 457 x 135 x 41 = 15176970
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 457,810,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,810,246) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(457,810,246) x common factors =1 x 6 = 6
LCM(457,810,246) = ( 457 × 810 × 246 ) / 6
LCM(457,810,246) = 91061820 / 6
LCM(457,810,246) = 15176970
Lets's calculate GCF of 18,65,32
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15176970/1
Therefore the LCM of Fractions 457/18,810/65,246/32 is 15176970
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Greatest Common Factor
We found the factors 18,65,32 . The biggest common factor number is the GCF number.
So the greatest common factor 18,65,32 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 457/18, 810/65, 246/32?
Answer: LCM of Numerators as per given numbers 457/18, 810/65, 246/32 is
LCM of Numerators i.e. for 457,810,246 is 15176970
GCF of denominators i.e. for 18,65,32 is 1.
Thus, LCM of Fractions is 15176970.Finally, LCM of Fractions for 457/18, 810/65, 246/32 is 15176970.