Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/28, 699/67, 885/959 quickly i.e. 27012855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/28, 699/67, 885/959 is 27012855.
LCM(655/28, 699/67, 885/959) = 27012855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/28,699/67,885/959
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 655,699,885
Least Common Multiple of Numerators i.e. LCM of 655,699,885 is 27012855.
GCF of Denominators means GCF of 28,67,959 as per the given fractions.
GCF of 28,67,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,699,885
3 | 655, 699, 885 |
5 | 655, 233, 295 |
131, 233, 59 |
∴ So the LCM of the given numbers is 3 x 5 x 131 x 233 x 59 = 27012855
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 655,699,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,699,885) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(655,699,885) x common factors =1 x 15 = 15
LCM(655,699,885) = ( 655 × 699 × 885 ) / 15
LCM(655,699,885) = 405192825 / 15
LCM(655,699,885) = 27012855
Lets's calculate GCF of 28,67,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27012855/1
Therefore the LCM of Fractions 655/28,699/67,885/959 is 27012855
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 28,67,959 . The biggest common factor number is the GCF number.
So the greatest common factor 28,67,959 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 655/28, 699/67, 885/959?
Answer: LCM of Numerators as per given numbers 655/28, 699/67, 885/959 is
LCM of Numerators i.e. for 655,699,885 is 27012855
GCF of denominators i.e. for 28,67,959 is 1.
Thus, LCM of Fractions is 27012855.Finally, LCM of Fractions for 655/28, 699/67, 885/959 is 27012855.