Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/358, 609/77, 599/250 quickly i.e. 18239550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/358, 609/77, 599/250 is 18239550.
LCM(50/358, 609/77, 599/250) = 18239550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/358,609/77,599/250
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 50,609,599
Least Common Multiple of Numerators i.e. LCM of 50,609,599 is 18239550.
GCF of Denominators means GCF of 358,77,250 as per the given fractions.
GCF of 358,77,250 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,609,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 18239550
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 50,609,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,609,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,609,599) x common factors =1 x 1 = 1
LCM(50,609,599) = ( 50 × 609 × 599 ) / 1
LCM(50,609,599) = 18239550 / 1
LCM(50,609,599) = 18239550
Lets's calculate GCF of 358,77,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18239550/1
Therefore the LCM of Fractions 50/358,609/77,599/250 is 18239550
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 358,77,250 . The biggest common factor number is the GCF number.
So the greatest common factor 358,77,250 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 50/358, 609/77, 599/250?
Answer: LCM of Numerators as per given numbers 50/358, 609/77, 599/250 is
LCM of Numerators i.e. for 50,609,599 is 18239550
GCF of denominators i.e. for 358,77,250 is 1.
Thus, LCM of Fractions is 18239550.Finally, LCM of Fractions for 50/358, 609/77, 599/250 is 18239550.