Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 405/16, 2356/630 quickly i.e. 477090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 405/16, 2356/630 is 477090.
LCM(405/16, 2356/630) = 477090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 405/16,2356/630
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 405,2356
Least Common Multiple of Numerators i.e. LCM of 405,2356 is 954180.
GCF of Denominators means GCF of 16,630 as per the given fractions.
GCF of 16,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 405,2356
Given numbers has no common factors except 1. So, there LCM is their product i.e 954180
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 405,2356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,2356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,2356) x common factors =1 x 1 = 1
LCM(405,2356) = ( 405 × 2356 ) / 1
LCM(405,2356) = 954180 / 1
LCM(405,2356) = 954180
Lets's calculate GCF of 16,630
2 | 16, 630 |
8, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954180/2
Therefore the LCM of Fractions 405/16,2356/630 is 477090
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 16,630 . The biggest common factor number is the GCF number.
So the greatest common factor 16,630 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 405/16, 2356/630?
Answer: LCM of Numerators as per given numbers 405/16, 2356/630 is
LCM of Numerators i.e. for 405,2356 is 954180
GCF of denominators i.e. for 16,630 is 2.
Thus, LCM of Fractions is 477090.Finally, LCM of Fractions for 405/16, 2356/630 is 477090.