Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/150, 437/858, 204/176 quickly i.e. 1114350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/150, 437/858, 204/176 is 1114350.
LCM(25/150, 437/858, 204/176) = 1114350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/150,437/858,204/176
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 25,437,204
Least Common Multiple of Numerators i.e. LCM of 25,437,204 is 2228700.
GCF of Denominators means GCF of 150,858,176 as per the given fractions.
GCF of 150,858,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,437,204
Given numbers has no common factors except 1. So, there LCM is their product i.e 2228700
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 25,437,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,437,204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,437,204) x common factors =1 x 1 = 1
LCM(25,437,204) = ( 25 × 437 × 204 ) / 1
LCM(25,437,204) = 2228700 / 1
LCM(25,437,204) = 2228700
Lets's calculate GCF of 150,858,176
2 | 150, 858, 176 |
75, 429, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2228700/2
Therefore the LCM of Fractions 25/150,437/858,204/176 is 1114350
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 150,858,176 . The biggest common factor number is the GCF number.
So the greatest common factor 150,858,176 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 25/150, 437/858, 204/176?
Answer: LCM of Numerators as per given numbers 25/150, 437/858, 204/176 is
LCM of Numerators i.e. for 25,437,204 is 2228700
GCF of denominators i.e. for 150,858,176 is 2.
Thus, LCM of Fractions is 1114350.Finally, LCM of Fractions for 25/150, 437/858, 204/176 is 1114350.