Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/348, 27/854, 808/434 quickly i.e. 643572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/348, 27/854, 808/434 is 643572.
LCM(59/348, 27/854, 808/434) = 643572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/348,27/854,808/434
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 59,27,808
Least Common Multiple of Numerators i.e. LCM of 59,27,808 is 1287144.
GCF of Denominators means GCF of 348,854,434 as per the given fractions.
GCF of 348,854,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,27,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287144
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 59,27,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,27,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,27,808) x common factors =1 x 1 = 1
LCM(59,27,808) = ( 59 × 27 × 808 ) / 1
LCM(59,27,808) = 1287144 / 1
LCM(59,27,808) = 1287144
Lets's calculate GCF of 348,854,434
2 | 348, 854, 434 |
174, 427, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1287144/2
Therefore the LCM of Fractions 59/348,27/854,808/434 is 643572
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 348,854,434 . The biggest common factor number is the GCF number.
So the greatest common factor 348,854,434 is 2.
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 59/348, 27/854, 808/434?
Answer: LCM of Numerators as per given numbers 59/348, 27/854, 808/434 is
LCM of Numerators i.e. for 59,27,808 is 1287144
GCF of denominators i.e. for 348,854,434 is 2.
Thus, LCM of Fractions is 643572.Finally, LCM of Fractions for 59/348, 27/854, 808/434 is 643572.