Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/79, 573/19, 886/398 quickly i.e. 34014426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/79, 573/19, 886/398 is 34014426.
LCM(67/79, 573/19, 886/398) = 34014426
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/79,573/19,886/398
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 67,573,886
Least Common Multiple of Numerators i.e. LCM of 67,573,886 is 34014426.
GCF of Denominators means GCF of 79,19,398 as per the given fractions.
GCF of 79,19,398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,573,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 34014426
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 67,573,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,573,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,573,886) x common factors =1 x 1 = 1
LCM(67,573,886) = ( 67 × 573 × 886 ) / 1
LCM(67,573,886) = 34014426 / 1
LCM(67,573,886) = 34014426
Lets's calculate GCF of 79,19,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34014426/1
Therefore the LCM of Fractions 67/79,573/19,886/398 is 34014426
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 79,19,398 . The biggest common factor number is the GCF number.
So the greatest common factor 79,19,398 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 67/79, 573/19, 886/398?
Answer: LCM of Numerators as per given numbers 67/79, 573/19, 886/398 is
LCM of Numerators i.e. for 67,573,886 is 34014426
GCF of denominators i.e. for 79,19,398 is 1.
Thus, LCM of Fractions is 34014426.Finally, LCM of Fractions for 67/79, 573/19, 886/398 is 34014426.