Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 421/15, 535/43, 818/530 quickly i.e. 184242230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 421/15, 535/43, 818/530 is 184242230.
LCM(421/15, 535/43, 818/530) = 184242230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 421/15,535/43,818/530
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 421,535,818
Least Common Multiple of Numerators i.e. LCM of 421,535,818 is 184242230.
GCF of Denominators means GCF of 15,43,530 as per the given fractions.
GCF of 15,43,530 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 421,535,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 184242230
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 421,535,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,535,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,535,818) x common factors =1 x 1 = 1
LCM(421,535,818) = ( 421 × 535 × 818 ) / 1
LCM(421,535,818) = 184242230 / 1
LCM(421,535,818) = 184242230
Lets's calculate GCF of 15,43,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184242230/1
Therefore the LCM of Fractions 421/15,535/43,818/530 is 184242230
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 15,43,530 . The biggest common factor number is the GCF number.
So the greatest common factor 15,43,530 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 421/15, 535/43, 818/530?
Answer: LCM of Numerators as per given numbers 421/15, 535/43, 818/530 is
LCM of Numerators i.e. for 421,535,818 is 184242230
GCF of denominators i.e. for 15,43,530 is 1.
Thus, LCM of Fractions is 184242230.Finally, LCM of Fractions for 421/15, 535/43, 818/530 is 184242230.