Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/447, 541/835, 497/854 quickly i.e. 18014759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/447, 541/835, 497/854 is 18014759.
LCM(67/447, 541/835, 497/854) = 18014759
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/447,541/835,497/854
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 67,541,497
Least Common Multiple of Numerators i.e. LCM of 67,541,497 is 18014759.
GCF of Denominators means GCF of 447,835,854 as per the given fractions.
GCF of 447,835,854 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,541,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 18014759
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 67,541,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,541,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,541,497) x common factors =1 x 1 = 1
LCM(67,541,497) = ( 67 × 541 × 497 ) / 1
LCM(67,541,497) = 18014759 / 1
LCM(67,541,497) = 18014759
Lets's calculate GCF of 447,835,854
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18014759/1
Therefore the LCM of Fractions 67/447,541/835,497/854 is 18014759
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 447,835,854 . The biggest common factor number is the GCF number.
So the greatest common factor 447,835,854 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 67/447, 541/835, 497/854?
Answer: LCM of Numerators as per given numbers 67/447, 541/835, 497/854 is
LCM of Numerators i.e. for 67,541,497 is 18014759
GCF of denominators i.e. for 447,835,854 is 1.
Thus, LCM of Fractions is 18014759.Finally, LCM of Fractions for 67/447, 541/835, 497/854 is 18014759.