Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2805/219, 5540/513 quickly i.e. 1035980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2805/219, 5540/513 is 1035980.
LCM(2805/219, 5540/513) = 1035980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2805/219,5540/513
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 2805,5540
Least Common Multiple of Numerators i.e. LCM of 2805,5540 is 3107940.
GCF of Denominators means GCF of 219,513 as per the given fractions.
GCF of 219,513 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2805,5540
5 | 2805, 5540 |
561, 1108 |
∴ So the LCM of the given numbers is 5 x 561 x 1108 = 3107940
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 2805,5540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2805,5540) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2805,5540) x common factors =5 x 1 = 5
LCM(2805,5540) = ( 2805 × 5540 ) / 5
LCM(2805,5540) = 15539700 / 5
LCM(2805,5540) = 3107940
Lets's calculate GCF of 219,513
3 | 219, 513 |
73, 171 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3107940/3
Therefore the LCM of Fractions 2805/219,5540/513 is 1035980
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 219,513 . The biggest common factor number is the GCF number.
So the greatest common factor 219,513 is 3.
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 2805/219, 5540/513?
Answer: LCM of Numerators as per given numbers 2805/219, 5540/513 is
LCM of Numerators i.e. for 2805,5540 is 3107940
GCF of denominators i.e. for 219,513 is 3.
Thus, LCM of Fractions is 1035980.Finally, LCM of Fractions for 2805/219, 5540/513 is 1035980.