Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/231, 856/228, 906/800 quickly i.e. 25204920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/231, 856/228, 906/800 is 25204920.
LCM(65/231, 856/228, 906/800) = 25204920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/231,856/228,906/800
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 65,856,906
Least Common Multiple of Numerators i.e. LCM of 65,856,906 is 25204920.
GCF of Denominators means GCF of 231,228,800 as per the given fractions.
GCF of 231,228,800 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,856,906
2 | 65, 856, 906 |
65, 428, 453 |
∴ So the LCM of the given numbers is 2 x 65 x 428 x 453 = 25204920
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 65,856,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,856,906) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,856,906) x common factors =1 x 2 = 2
LCM(65,856,906) = ( 65 × 856 × 906 ) / 2
LCM(65,856,906) = 50409840 / 2
LCM(65,856,906) = 25204920
Lets's calculate GCF of 231,228,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25204920/1
Therefore the LCM of Fractions 65/231,856/228,906/800 is 25204920
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
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
Greatest Common Factor
We found the factors 231,228,800 . The biggest common factor number is the GCF number.
So the greatest common factor 231,228,800 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 65/231, 856/228, 906/800?
Answer: LCM of Numerators as per given numbers 65/231, 856/228, 906/800 is
LCM of Numerators i.e. for 65,856,906 is 25204920
GCF of denominators i.e. for 231,228,800 is 1.
Thus, LCM of Fractions is 25204920.Finally, LCM of Fractions for 65/231, 856/228, 906/800 is 25204920.