Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 695/80, 231/87, 299/124 quickly i.e. 48002955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 695/80, 231/87, 299/124 is 48002955.
LCM(695/80, 231/87, 299/124) = 48002955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 695/80,231/87,299/124
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 695,231,299
Least Common Multiple of Numerators i.e. LCM of 695,231,299 is 48002955.
GCF of Denominators means GCF of 80,87,124 as per the given fractions.
GCF of 80,87,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 695,231,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 48002955
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 695,231,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,231,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,231,299) x common factors =1 x 1 = 1
LCM(695,231,299) = ( 695 × 231 × 299 ) / 1
LCM(695,231,299) = 48002955 / 1
LCM(695,231,299) = 48002955
Lets's calculate GCF of 80,87,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48002955/1
Therefore the LCM of Fractions 695/80,231/87,299/124 is 48002955
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 80,87,124 . The biggest common factor number is the GCF number.
So the greatest common factor 80,87,124 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 695/80, 231/87, 299/124?
Answer: LCM of Numerators as per given numbers 695/80, 231/87, 299/124 is
LCM of Numerators i.e. for 695,231,299 is 48002955
GCF of denominators i.e. for 80,87,124 is 1.
Thus, LCM of Fractions is 48002955.Finally, LCM of Fractions for 695/80, 231/87, 299/124 is 48002955.