Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/80, 90/295, 915/124 quickly i.e. 455670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/80, 90/295, 915/124 is 455670.
LCM(83/80, 90/295, 915/124) = 455670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/80,90/295,915/124
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 83,90,915
Least Common Multiple of Numerators i.e. LCM of 83,90,915 is 455670.
GCF of Denominators means GCF of 80,295,124 as per the given fractions.
GCF of 80,295,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,90,915
3 | 83, 90, 915 |
5 | 83, 30, 305 |
83, 6, 61 |
∴ So the LCM of the given numbers is 3 x 5 x 83 x 6 x 61 = 455670
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 83,90,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,90,915) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(83,90,915) x common factors =1 x 15 = 15
LCM(83,90,915) = ( 83 × 90 × 915 ) / 15
LCM(83,90,915) = 6835050 / 15
LCM(83,90,915) = 455670
Lets's calculate GCF of 80,295,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455670/1
Therefore the LCM of Fractions 83/80,90/295,915/124 is 455670
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 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
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 80,295,124 . The biggest common factor number is the GCF number.
So the greatest common factor 80,295,124 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 83/80, 90/295, 915/124?
Answer: LCM of Numerators as per given numbers 83/80, 90/295, 915/124 is
LCM of Numerators i.e. for 83,90,915 is 455670
GCF of denominators i.e. for 80,295,124 is 1.
Thus, LCM of Fractions is 455670.Finally, LCM of Fractions for 83/80, 90/295, 915/124 is 455670.