Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/456, 51/400, 39/810 quickly i.e. 663/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/456, 51/400, 39/810 is 663/2.
LCM(1/456, 51/400, 39/810) = 663/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/456,51/400,39/810
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 1,51,39
Least Common Multiple of Numerators i.e. LCM of 1,51,39 is 663.
GCF of Denominators means GCF of 456,400,810 as per the given fractions.
GCF of 456,400,810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,51,39
3 | 1, 51, 39 |
1, 17, 13 |
∴ So the LCM of the given numbers is 3 x 1 x 17 x 13 = 663
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 1,51,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,51,39) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(1,51,39) x common factors =1 x 3 = 3
LCM(1,51,39) = ( 1 × 51 × 39 ) / 3
LCM(1,51,39) = 1989 / 3
LCM(1,51,39) = 663
Lets's calculate GCF of 456,400,810
2 | 456, 400, 810 |
228, 200, 405 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 663/2
Therefore the LCM of Fractions 1/456,51/400,39/810 is 663/2
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 456,400,810 . The biggest common factor number is the GCF number.
So the greatest common factor 456,400,810 is 2.
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 1/456, 51/400, 39/810?
Answer: LCM of Numerators as per given numbers 1/456, 51/400, 39/810 is
LCM of Numerators i.e. for 1,51,39 is 663
GCF of denominators i.e. for 456,400,810 is 2.
Thus, LCM of Fractions is 663/2.Finally, LCM of Fractions for 1/456, 51/400, 39/810 is 663/2.