Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1578/765, 1481/315 quickly i.e. 2337018/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1578/765, 1481/315 is 2337018/45.
LCM(1578/765, 1481/315) = 2337018/45
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1578/765,1481/315
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 1578,1481
Least Common Multiple of Numerators i.e. LCM of 1578,1481 is 2337018.
GCF of Denominators means GCF of 765,315 as per the given fractions.
GCF of 765,315 is 45 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1578,1481
Given numbers has no common factors except 1. So, there LCM is their product i.e 2337018
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 1578,1481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1578,1481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1578,1481) x common factors =1 x 1 = 1
LCM(1578,1481) = ( 1578 × 1481 ) / 1
LCM(1578,1481) = 2337018 / 1
LCM(1578,1481) = 2337018
Lets's calculate GCF of 765,315
3 | 765, 315 |
3 | 255, 105 |
5 | 85, 35 |
17, 7 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2337018/45
Therefore the LCM of Fractions 1578/765,1481/315 is 2337018/45
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 765,315 . The biggest common factor number is the GCF number.
So the greatest common factor 765,315 is 45.
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 1578/765, 1481/315?
Answer: LCM of Numerators as per given numbers 1578/765, 1481/315 is
LCM of Numerators i.e. for 1578,1481 is 2337018
GCF of denominators i.e. for 765,315 is 45.
Thus, LCM of Fractions is 2337018/45.Finally, LCM of Fractions for 1578/765, 1481/315 is 2337018/45.