Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 815/60, 957/90, 883/820 quickly i.e. 688700265/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 815/60, 957/90, 883/820 is 688700265/10.
LCM(815/60, 957/90, 883/820) = 688700265/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 815/60,957/90,883/820
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 815,957,883
Least Common Multiple of Numerators i.e. LCM of 815,957,883 is 688700265.
GCF of Denominators means GCF of 60,90,820 as per the given fractions.
GCF of 60,90,820 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 815,957,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 688700265
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 815,957,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,957,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,957,883) x common factors =1 x 1 = 1
LCM(815,957,883) = ( 815 × 957 × 883 ) / 1
LCM(815,957,883) = 688700265 / 1
LCM(815,957,883) = 688700265
Lets's calculate GCF of 60,90,820
2 | 60, 90, 820 |
5 | 30, 45, 410 |
6, 9, 82 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 688700265/10
Therefore the LCM of Fractions 815/60,957/90,883/820 is 688700265/10
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 60,90,820 . The biggest common factor number is the GCF number.
So the greatest common factor 60,90,820 is 10.
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 815/60, 957/90, 883/820?
Answer: LCM of Numerators as per given numbers 815/60, 957/90, 883/820 is
LCM of Numerators i.e. for 815,957,883 is 688700265
GCF of denominators i.e. for 60,90,820 is 10.
Thus, LCM of Fractions is 688700265/10.Finally, LCM of Fractions for 815/60, 957/90, 883/820 is 688700265/10.