Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1480/34, 6568/485 quickly i.e. 1215080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1480/34, 6568/485 is 1215080.
LCM(1480/34, 6568/485) = 1215080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1480/34,6568/485
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 1480,6568
Least Common Multiple of Numerators i.e. LCM of 1480,6568 is 1215080.
GCF of Denominators means GCF of 34,485 as per the given fractions.
GCF of 34,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1480,6568
2 | 1480, 6568 |
2 | 740, 3284 |
2 | 370, 1642 |
185, 821 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 185 x 821 = 1215080
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 1480,6568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1480,6568) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(1480,6568) x common factors =8 x 1 = 8
LCM(1480,6568) = ( 1480 × 6568 ) / 8
LCM(1480,6568) = 9720640 / 8
LCM(1480,6568) = 1215080
Lets's calculate GCF of 34,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1215080/1
Therefore the LCM of Fractions 1480/34,6568/485 is 1215080
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 34,485 . The biggest common factor number is the GCF number.
So the greatest common factor 34,485 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 1480/34, 6568/485?
Answer: LCM of Numerators as per given numbers 1480/34, 6568/485 is
LCM of Numerators i.e. for 1480,6568 is 1215080
GCF of denominators i.e. for 34,485 is 1.
Thus, LCM of Fractions is 1215080.Finally, LCM of Fractions for 1480/34, 6568/485 is 1215080.