Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/554, 53/647, 81/359 quickly i.e. 8586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/554, 53/647, 81/359 is 8586.
LCM(6/554, 53/647, 81/359) = 8586
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/554,53/647,81/359
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 6,53,81
Least Common Multiple of Numerators i.e. LCM of 6,53,81 is 8586.
GCF of Denominators means GCF of 554,647,359 as per the given fractions.
GCF of 554,647,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,53,81
3 | 6, 53, 81 |
2, 53, 27 |
∴ So the LCM of the given numbers is 3 x 2 x 53 x 27 = 8586
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 6,53,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,53,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(6,53,81) x common factors =1 x 3 = 3
LCM(6,53,81) = ( 6 × 53 × 81 ) / 3
LCM(6,53,81) = 25758 / 3
LCM(6,53,81) = 8586
Lets's calculate GCF of 554,647,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8586/1
Therefore the LCM of Fractions 6/554,53/647,81/359 is 8586
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 554,647,359 . The biggest common factor number is the GCF number.
So the greatest common factor 554,647,359 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 6/554, 53/647, 81/359?
Answer: LCM of Numerators as per given numbers 6/554, 53/647, 81/359 is
LCM of Numerators i.e. for 6,53,81 is 8586
GCF of denominators i.e. for 554,647,359 is 1.
Thus, LCM of Fractions is 8586.Finally, LCM of Fractions for 6/554, 53/647, 81/359 is 8586.