Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/30, 130/19, 405/823 quickly i.e. 705510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/30, 130/19, 405/823 is 705510.
LCM(67/30, 130/19, 405/823) = 705510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/30,130/19,405/823
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 67,130,405
Least Common Multiple of Numerators i.e. LCM of 67,130,405 is 705510.
GCF of Denominators means GCF of 30,19,823 as per the given fractions.
GCF of 30,19,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,130,405
5 | 67, 130, 405 |
67, 26, 81 |
∴ So the LCM of the given numbers is 5 x 67 x 26 x 81 = 705510
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 67,130,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,130,405) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(67,130,405) x common factors =1 x 5 = 5
LCM(67,130,405) = ( 67 × 130 × 405 ) / 5
LCM(67,130,405) = 3527550 / 5
LCM(67,130,405) = 705510
Lets's calculate GCF of 30,19,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705510/1
Therefore the LCM of Fractions 67/30,130/19,405/823 is 705510
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 30,19,823 . The biggest common factor number is the GCF number.
So the greatest common factor 30,19,823 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 67/30, 130/19, 405/823?
Answer: LCM of Numerators as per given numbers 67/30, 130/19, 405/823 is
LCM of Numerators i.e. for 67,130,405 is 705510
GCF of denominators i.e. for 30,19,823 is 1.
Thus, LCM of Fractions is 705510.Finally, LCM of Fractions for 67/30, 130/19, 405/823 is 705510.