Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 799/635, 2305/455 quickly i.e. 368339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 799/635, 2305/455 is 368339.
LCM(799/635, 2305/455) = 368339
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 799/635,2305/455
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 799,2305
Least Common Multiple of Numerators i.e. LCM of 799,2305 is 1841695.
GCF of Denominators means GCF of 635,455 as per the given fractions.
GCF of 635,455 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 799,2305
Given numbers has no common factors except 1. So, there LCM is their product i.e 1841695
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 799,2305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,2305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,2305) x common factors =1 x 1 = 1
LCM(799,2305) = ( 799 × 2305 ) / 1
LCM(799,2305) = 1841695 / 1
LCM(799,2305) = 1841695
Lets's calculate GCF of 635,455
5 | 635, 455 |
127, 91 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1841695/5
Therefore the LCM of Fractions 799/635,2305/455 is 368339
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 635,455 . The biggest common factor number is the GCF number.
So the greatest common factor 635,455 is 5.
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 799/635, 2305/455?
Answer: LCM of Numerators as per given numbers 799/635, 2305/455 is
LCM of Numerators i.e. for 799,2305 is 1841695
GCF of denominators i.e. for 635,455 is 5.
Thus, LCM of Fractions is 368339.Finally, LCM of Fractions for 799/635, 2305/455 is 368339.