Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/828, 45/305, 63/403 quickly i.e. 315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/828, 45/305, 63/403 is 315.
LCM(5/828, 45/305, 63/403) = 315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/828,45/305,63/403
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 5,45,63
Least Common Multiple of Numerators i.e. LCM of 5,45,63 is 315.
GCF of Denominators means GCF of 828,305,403 as per the given fractions.
GCF of 828,305,403 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,45,63
3 | 5, 45, 63 |
3 | 5, 15, 21 |
5 | 5, 5, 7 |
1, 1, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 7 = 315
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 5,45,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,45,63) = 1
common factors(in case of two or more numbers have common factors) = 45
GCF(5,45,63) x common factors =1 x 45 = 45
LCM(5,45,63) = ( 5 × 45 × 63 ) / 45
LCM(5,45,63) = 14175 / 45
LCM(5,45,63) = 315
Lets's calculate GCF of 828,305,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315/1
Therefore the LCM of Fractions 5/828,45/305,63/403 is 315
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 828,305,403 . The biggest common factor number is the GCF number.
So the greatest common factor 828,305,403 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 5/828, 45/305, 63/403?
Answer: LCM of Numerators as per given numbers 5/828, 45/305, 63/403 is
LCM of Numerators i.e. for 5,45,63 is 315
GCF of denominators i.e. for 828,305,403 is 1.
Thus, LCM of Fractions is 315.Finally, LCM of Fractions for 5/828, 45/305, 63/403 is 315.