Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/343, 14/552, 89/531 quickly i.e. 3738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/343, 14/552, 89/531 is 3738.
LCM(6/343, 14/552, 89/531) = 3738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/343,14/552,89/531
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 6,14,89
Least Common Multiple of Numerators i.e. LCM of 6,14,89 is 3738.
GCF of Denominators means GCF of 343,552,531 as per the given fractions.
GCF of 343,552,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,14,89
2 | 6, 14, 89 |
3, 7, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 89 = 3738
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 6,14,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,14,89) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,14,89) x common factors =1 x 2 = 2
LCM(6,14,89) = ( 6 × 14 × 89 ) / 2
LCM(6,14,89) = 7476 / 2
LCM(6,14,89) = 3738
Lets's calculate GCF of 343,552,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3738/1
Therefore the LCM of Fractions 6/343,14/552,89/531 is 3738
Factors of 343
List of positive integer factors of 343 that divides 343 without a remainder.
1,7,49,343
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 343,552,531 . The biggest common factor number is the GCF number.
So the greatest common factor 343,552,531 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 6/343, 14/552, 89/531?
Answer: LCM of Numerators as per given numbers 6/343, 14/552, 89/531 is
LCM of Numerators i.e. for 6,14,89 is 3738
GCF of denominators i.e. for 343,552,531 is 1.
Thus, LCM of Fractions is 3738.Finally, LCM of Fractions for 6/343, 14/552, 89/531 is 3738.