Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/45, 795/3247 quickly i.e. 1590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/45, 795/3247 is 1590.
LCM(318/45, 795/3247) = 1590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/45,795/3247
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 318,795
Least Common Multiple of Numerators i.e. LCM of 318,795 is 1590.
GCF of Denominators means GCF of 45,3247 as per the given fractions.
GCF of 45,3247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,795
3 | 318, 795 |
53 | 106, 265 |
2, 5 |
∴ So the LCM of the given numbers is 3 x 53 x 2 x 5 = 1590
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 318,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,795) = 159
common factors(in case of two or more numbers have common factors) = 1
GCF(318,795) x common factors =159 x 1 = 159
LCM(318,795) = ( 318 × 795 ) / 159
LCM(318,795) = 252810 / 159
LCM(318,795) = 1590
Lets's calculate GCF of 45,3247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1590/1
Therefore the LCM of Fractions 318/45,795/3247 is 1590
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1,17,191,3247
Greatest Common Factor
We found the factors 45,3247 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3247 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 318/45, 795/3247?
Answer: LCM of Numerators as per given numbers 318/45, 795/3247 is
LCM of Numerators i.e. for 318,795 is 1590
GCF of denominators i.e. for 45,3247 is 1.
Thus, LCM of Fractions is 1590.Finally, LCM of Fractions for 318/45, 795/3247 is 1590.