Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 343/510, 7827/549 quickly i.e. 894887 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 343/510, 7827/549 is 894887.
LCM(343/510, 7827/549) = 894887
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 343/510,7827/549
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 343,7827
Least Common Multiple of Numerators i.e. LCM of 343,7827 is 2684661.
GCF of Denominators means GCF of 510,549 as per the given fractions.
GCF of 510,549 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 343,7827
Given numbers has no common factors except 1. So, there LCM is their product i.e 2684661
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 343,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,7827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,7827) x common factors =1 x 1 = 1
LCM(343,7827) = ( 343 × 7827 ) / 1
LCM(343,7827) = 2684661 / 1
LCM(343,7827) = 2684661
Lets's calculate GCF of 510,549
3 | 510, 549 |
170, 183 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2684661/3
Therefore the LCM of Fractions 343/510,7827/549 is 894887
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 510,549 . The biggest common factor number is the GCF number.
So the greatest common factor 510,549 is 3.
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 343/510, 7827/549?
Answer: LCM of Numerators as per given numbers 343/510, 7827/549 is
LCM of Numerators i.e. for 343,7827 is 2684661
GCF of denominators i.e. for 510,549 is 3.
Thus, LCM of Fractions is 894887.Finally, LCM of Fractions for 343/510, 7827/549 is 894887.