Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/63, 339/1326 quickly i.e. 70738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/63, 339/1326 is 70738.
LCM(626/63, 339/1326) = 70738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/63,339/1326
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 626,339
Least Common Multiple of Numerators i.e. LCM of 626,339 is 212214.
GCF of Denominators means GCF of 63,1326 as per the given fractions.
GCF of 63,1326 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 212214
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 626,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,339) x common factors =1 x 1 = 1
LCM(626,339) = ( 626 × 339 ) / 1
LCM(626,339) = 212214 / 1
LCM(626,339) = 212214
Lets's calculate GCF of 63,1326
3 | 63, 1326 |
21, 442 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212214/3
Therefore the LCM of Fractions 626/63,339/1326 is 70738
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 1326
List of positive integer factors of 1326 that divides 1326 without a remainder.
1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 63,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 63,1326 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 626/63, 339/1326?
Answer: LCM of Numerators as per given numbers 626/63, 339/1326 is
LCM of Numerators i.e. for 626,339 is 212214
GCF of denominators i.e. for 63,1326 is 3.
Thus, LCM of Fractions is 70738.Finally, LCM of Fractions for 626/63, 339/1326 is 70738.