Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/15, 343/8832 quickly i.e. 212660/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/15, 343/8832 is 212660/3.
LCM(620/15, 343/8832) = 212660/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/15,343/8832
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 620,343
Least Common Multiple of Numerators i.e. LCM of 620,343 is 212660.
GCF of Denominators means GCF of 15,8832 as per the given fractions.
GCF of 15,8832 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 212660
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 620,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,343) x common factors =1 x 1 = 1
LCM(620,343) = ( 620 × 343 ) / 1
LCM(620,343) = 212660 / 1
LCM(620,343) = 212660
Lets's calculate GCF of 15,8832
3 | 15, 8832 |
5, 2944 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212660/3
Therefore the LCM of Fractions 620/15,343/8832 is 212660/3
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 8832
List of positive integer factors of 8832 that divides 8832 without a remainder.
1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832
Greatest Common Factor
We found the factors 15,8832 . The biggest common factor number is the GCF number.
So the greatest common factor 15,8832 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 620/15, 343/8832?
Answer: LCM of Numerators as per given numbers 620/15, 343/8832 is
LCM of Numerators i.e. for 620,343 is 212660
GCF of denominators i.e. for 15,8832 is 3.
Thus, LCM of Fractions is 212660/3.Finally, LCM of Fractions for 620/15, 343/8832 is 212660/3.