Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 461/92, 790/43, 599/952 quickly i.e. 218149810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 461/92, 790/43, 599/952 is 218149810.
LCM(461/92, 790/43, 599/952) = 218149810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 461/92,790/43,599/952
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 461,790,599
Least Common Multiple of Numerators i.e. LCM of 461,790,599 is 218149810.
GCF of Denominators means GCF of 92,43,952 as per the given fractions.
GCF of 92,43,952 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 461,790,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 218149810
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 461,790,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,790,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,790,599) x common factors =1 x 1 = 1
LCM(461,790,599) = ( 461 × 790 × 599 ) / 1
LCM(461,790,599) = 218149810 / 1
LCM(461,790,599) = 218149810
Lets's calculate GCF of 92,43,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218149810/1
Therefore the LCM of Fractions 461/92,790/43,599/952 is 218149810
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 92,43,952 . The biggest common factor number is the GCF number.
So the greatest common factor 92,43,952 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 461/92, 790/43, 599/952?
Answer: LCM of Numerators as per given numbers 461/92, 790/43, 599/952 is
LCM of Numerators i.e. for 461,790,599 is 218149810
GCF of denominators i.e. for 92,43,952 is 1.
Thus, LCM of Fractions is 218149810.Finally, LCM of Fractions for 461/92, 790/43, 599/952 is 218149810.