Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 101/200, 6036/574 quickly i.e. 304818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 101/200, 6036/574 is 304818.
LCM(101/200, 6036/574) = 304818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 101/200,6036/574
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 101,6036
Least Common Multiple of Numerators i.e. LCM of 101,6036 is 609636.
GCF of Denominators means GCF of 200,574 as per the given fractions.
GCF of 200,574 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 101,6036
Given numbers has no common factors except 1. So, there LCM is their product i.e 609636
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 101,6036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,6036) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,6036) x common factors =1 x 1 = 1
LCM(101,6036) = ( 101 × 6036 ) / 1
LCM(101,6036) = 609636 / 1
LCM(101,6036) = 609636
Lets's calculate GCF of 200,574
2 | 200, 574 |
100, 287 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 609636/2
Therefore the LCM of Fractions 101/200,6036/574 is 304818
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 200,574 . The biggest common factor number is the GCF number.
So the greatest common factor 200,574 is 2.
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 101/200, 6036/574?
Answer: LCM of Numerators as per given numbers 101/200, 6036/574 is
LCM of Numerators i.e. for 101,6036 is 609636
GCF of denominators i.e. for 200,574 is 2.
Thus, LCM of Fractions is 304818.Finally, LCM of Fractions for 101/200, 6036/574 is 304818.