Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/450, 865/559, 758/775 quickly i.e. 116053590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/450, 865/559, 758/775 is 116053590.
LCM(885/450, 865/559, 758/775) = 116053590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/450,865/559,758/775
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 885,865,758
Least Common Multiple of Numerators i.e. LCM of 885,865,758 is 116053590.
GCF of Denominators means GCF of 450,559,775 as per the given fractions.
GCF of 450,559,775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,865,758
5 | 885, 865, 758 |
177, 173, 758 |
∴ So the LCM of the given numbers is 5 x 177 x 173 x 758 = 116053590
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 885,865,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,865,758) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(885,865,758) x common factors =1 x 5 = 5
LCM(885,865,758) = ( 885 × 865 × 758 ) / 5
LCM(885,865,758) = 580267950 / 5
LCM(885,865,758) = 116053590
Lets's calculate GCF of 450,559,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116053590/1
Therefore the LCM of Fractions 885/450,865/559,758/775 is 116053590
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 450,559,775 . The biggest common factor number is the GCF number.
So the greatest common factor 450,559,775 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 885/450, 865/559, 758/775?
Answer: LCM of Numerators as per given numbers 885/450, 865/559, 758/775 is
LCM of Numerators i.e. for 885,865,758 is 116053590
GCF of denominators i.e. for 450,559,775 is 1.
Thus, LCM of Fractions is 116053590.Finally, LCM of Fractions for 885/450, 865/559, 758/775 is 116053590.