Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/27, 67/342, 80/398 quickly i.e. 5360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/27, 67/342, 80/398 is 5360.
LCM(8/27, 67/342, 80/398) = 5360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/27,67/342,80/398
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 8,67,80
Least Common Multiple of Numerators i.e. LCM of 8,67,80 is 5360.
GCF of Denominators means GCF of 27,342,398 as per the given fractions.
GCF of 27,342,398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,67,80
2 | 8, 67, 80 |
2 | 4, 67, 40 |
2 | 2, 67, 20 |
1, 67, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 67 x 10 = 5360
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 8,67,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,67,80) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(8,67,80) x common factors =1 x 8 = 8
LCM(8,67,80) = ( 8 × 67 × 80 ) / 8
LCM(8,67,80) = 42880 / 8
LCM(8,67,80) = 5360
Lets's calculate GCF of 27,342,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5360/1
Therefore the LCM of Fractions 8/27,67/342,80/398 is 5360
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
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 27,342,398 . The biggest common factor number is the GCF number.
So the greatest common factor 27,342,398 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 8/27, 67/342, 80/398?
Answer: LCM of Numerators as per given numbers 8/27, 67/342, 80/398 is
LCM of Numerators i.e. for 8,67,80 is 5360
GCF of denominators i.e. for 27,342,398 is 1.
Thus, LCM of Fractions is 5360.Finally, LCM of Fractions for 8/27, 67/342, 80/398 is 5360.