Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/800, 3267/942 quickly i.e. 346302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/800, 3267/942 is 346302.
LCM(636/800, 3267/942) = 346302
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/800,3267/942
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 636,3267
Least Common Multiple of Numerators i.e. LCM of 636,3267 is 692604.
GCF of Denominators means GCF of 800,942 as per the given fractions.
GCF of 800,942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,3267
3 | 636, 3267 |
212, 1089 |
∴ So the LCM of the given numbers is 3 x 212 x 1089 = 692604
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 636,3267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,3267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,3267) x common factors =3 x 1 = 3
LCM(636,3267) = ( 636 × 3267 ) / 3
LCM(636,3267) = 2077812 / 3
LCM(636,3267) = 692604
Lets's calculate GCF of 800,942
2 | 800, 942 |
400, 471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 692604/2
Therefore the LCM of Fractions 636/800,3267/942 is 346302
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 800,942 . The biggest common factor number is the GCF number.
So the greatest common factor 800,942 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 636/800, 3267/942?
Answer: LCM of Numerators as per given numbers 636/800, 3267/942 is
LCM of Numerators i.e. for 636,3267 is 692604
GCF of denominators i.e. for 800,942 is 2.
Thus, LCM of Fractions is 346302.Finally, LCM of Fractions for 636/800, 3267/942 is 346302.