Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/61, 475/17, 807/280 quickly i.e. 135313725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/61, 475/17, 807/280 is 135313725.
LCM(353/61, 475/17, 807/280) = 135313725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/61,475/17,807/280
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 353,475,807
Least Common Multiple of Numerators i.e. LCM of 353,475,807 is 135313725.
GCF of Denominators means GCF of 61,17,280 as per the given fractions.
GCF of 61,17,280 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,475,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 135313725
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 353,475,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,475,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,475,807) x common factors =1 x 1 = 1
LCM(353,475,807) = ( 353 × 475 × 807 ) / 1
LCM(353,475,807) = 135313725 / 1
LCM(353,475,807) = 135313725
Lets's calculate GCF of 61,17,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135313725/1
Therefore the LCM of Fractions 353/61,475/17,807/280 is 135313725
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 61,17,280 . The biggest common factor number is the GCF number.
So the greatest common factor 61,17,280 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 353/61, 475/17, 807/280?
Answer: LCM of Numerators as per given numbers 353/61, 475/17, 807/280 is
LCM of Numerators i.e. for 353,475,807 is 135313725
GCF of denominators i.e. for 61,17,280 is 1.
Thus, LCM of Fractions is 135313725.Finally, LCM of Fractions for 353/61, 475/17, 807/280 is 135313725.