Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 679/30, 976/3286 quickly i.e. 331352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 679/30, 976/3286 is 331352.
LCM(679/30, 976/3286) = 331352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 679/30,976/3286
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 679,976
Least Common Multiple of Numerators i.e. LCM of 679,976 is 662704.
GCF of Denominators means GCF of 30,3286 as per the given fractions.
GCF of 30,3286 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 679,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 662704
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 679,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,976) x common factors =1 x 1 = 1
LCM(679,976) = ( 679 × 976 ) / 1
LCM(679,976) = 662704 / 1
LCM(679,976) = 662704
Lets's calculate GCF of 30,3286
2 | 30, 3286 |
15, 1643 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662704/2
Therefore the LCM of Fractions 679/30,976/3286 is 331352
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 3286
List of positive integer factors of 3286 that divides 3286 without a remainder.
1,2,31,53,62,106,1643,3286
Greatest Common Factor
We found the factors 30,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 30,3286 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 679/30, 976/3286?
Answer: LCM of Numerators as per given numbers 679/30, 976/3286 is
LCM of Numerators i.e. for 679,976 is 662704
GCF of denominators i.e. for 30,3286 is 2.
Thus, LCM of Fractions is 331352.Finally, LCM of Fractions for 679/30, 976/3286 is 331352.