Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 391/463, 136/100, 207/204 quickly i.e. 28152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 391/463, 136/100, 207/204 is 28152.
LCM(391/463, 136/100, 207/204) = 28152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 391/463,136/100,207/204
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 391,136,207
Least Common Multiple of Numerators i.e. LCM of 391,136,207 is 28152.
GCF of Denominators means GCF of 463,100,204 as per the given fractions.
GCF of 463,100,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 391,136,207
17 | 391, 136, 207 |
23 | 23, 8, 207 |
1, 8, 9 |
∴ So the LCM of the given numbers is 17 x 23 x 1 x 8 x 9 = 28152
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 391,136,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,136,207) = 1
common factors(in case of two or more numbers have common factors) = 391
GCF(391,136,207) x common factors =1 x 391 = 391
LCM(391,136,207) = ( 391 × 136 × 207 ) / 391
LCM(391,136,207) = 11007432 / 391
LCM(391,136,207) = 28152
Lets's calculate GCF of 463,100,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28152/1
Therefore the LCM of Fractions 391/463,136/100,207/204 is 28152
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 463,100,204 . The biggest common factor number is the GCF number.
So the greatest common factor 463,100,204 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 391/463, 136/100, 207/204?
Answer: LCM of Numerators as per given numbers 391/463, 136/100, 207/204 is
LCM of Numerators i.e. for 391,136,207 is 28152
GCF of denominators i.e. for 463,100,204 is 1.
Thus, LCM of Fractions is 28152.Finally, LCM of Fractions for 391/463, 136/100, 207/204 is 28152.