Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/817, 1955/2580 quickly i.e. 690115/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/817, 1955/2580 is 690115/43.
LCM(353/817, 1955/2580) = 690115/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/817,1955/2580
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 353,1955
Least Common Multiple of Numerators i.e. LCM of 353,1955 is 690115.
GCF of Denominators means GCF of 817,2580 as per the given fractions.
GCF of 817,2580 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,1955
Given numbers has no common factors except 1. So, there LCM is their product i.e 690115
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 353,1955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,1955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,1955) x common factors =1 x 1 = 1
LCM(353,1955) = ( 353 × 1955 ) / 1
LCM(353,1955) = 690115 / 1
LCM(353,1955) = 690115
Lets's calculate GCF of 817,2580
43 | 817, 2580 |
19, 60 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690115/43
Therefore the LCM of Fractions 353/817,1955/2580 is 690115/43
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 2580
List of positive integer factors of 2580 that divides 2580 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580
Greatest Common Factor
We found the factors 817,2580 . The biggest common factor number is the GCF number.
So the greatest common factor 817,2580 is 43.
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 353/817, 1955/2580?
Answer: LCM of Numerators as per given numbers 353/817, 1955/2580 is
LCM of Numerators i.e. for 353,1955 is 690115
GCF of denominators i.e. for 817,2580 is 43.
Thus, LCM of Fractions is 690115/43.Finally, LCM of Fractions for 353/817, 1955/2580 is 690115/43.