LCM the 3 and 13 is the smallest number amongst all typical multiples of 3 and also 13. The first few multiples of 3 and also 13 space (3, 6, 9, 12, 15, 18, . . . ) and also (13, 26, 39, 52, 65, 78, 91, . . . ) respectively. There space 3 frequently used methods to find LCM that 3 and also 13 - by element factorization, by listing multiples, and also by department method.
You are watching: What is the least common multiple of 3 and 13
| 1. | LCM of 3 and also 13 |
| 2. | List that Methods |
| 3. | Solved Examples |
| 4. | FAQs |
Answer: LCM the 3 and 13 is 39.
Explanation:
The LCM of two non-zero integers, x(3) and also y(13), is the smallest hopeful integer m(39) the is divisible by both x(3) and y(13) without any remainder.
The techniques to uncover the LCM of 3 and 13 are explained below.
By department MethodBy element Factorization MethodBy Listing MultiplesLCM the 3 and also 13 by department Method
To calculation the LCM of 3 and 13 by the department method, we will certainly divide the numbers(3, 13) by your prime components (preferably common). The product of this divisors provides the LCM the 3 and also 13.
Step 3: proceed the actions until only 1s space left in the critical row.The LCM that 3 and 13 is the product of all prime number on the left, i.e. LCM(3, 13) by division method = 3 × 13 = 39.
LCM that 3 and also 13 by element Factorization
Prime administrate of 3 and 13 is (3) = 31 and also (13) = 131 respectively. LCM that 3 and also 13 deserve to be derived by multiplying prime determinants raised to your respective highest possible power, i.e. 31 × 131 = 39.Hence, the LCM that 3 and 13 by prime factorization is 39.
LCM that 3 and also 13 through Listing Multiples
To calculate the LCM the 3 and also 13 by listing out the typical multiples, we can follow the given listed below steps:
Step 1: list a couple of multiples that 3 (3, 6, 9, 12, 15, 18, . . . ) and also 13 (13, 26, 39, 52, 65, 78, 91, . . . . )Step 2: The typical multiples native the multiples the 3 and also 13 space 39, 78, . . .Step 3: The smallest usual multiple the 3 and 13 is 39.∴ The least usual multiple of 3 and also 13 = 39.
☛ additionally Check:
FAQs top top LCM the 3 and also 13
What is the LCM that 3 and also 13?
The LCM the 3 and also 13 is 39. To find the LCM (least common multiple) that 3 and also 13, we require to find the multiples that 3 and also 13 (multiples of 3 = 3, 6, 9, 12 . . . . 39; multiples the 13 = 13, 26, 39, 52) and choose the the smallest multiple the is specifically divisible through 3 and also 13, i.e., 39.
What are the approaches to find LCM of 3 and also 13?
The frequently used methods to discover the LCM the 3 and 13 are:
Listing MultiplesPrime administrate MethodDivision MethodWhich the the adhering to is the LCM the 3 and also 13? 28, 42, 39, 12
The worth of LCM of 3, 13 is the smallest typical multiple of 3 and also 13. The number satisfying the given problem is 39.
If the LCM the 13 and 3 is 39, uncover its GCF.
LCM(13, 3) × GCF(13, 3) = 13 × 3Since the LCM of 13 and also 3 = 39⇒ 39 × GCF(13, 3) = 39Therefore, the GCF = 39/39 = 1.
See more: Confederate Currency 1861 Confederate $5 Dollar Bill Worth ?
How to discover the LCM the 3 and 13 by element Factorization?
To find the LCM of 3 and 13 making use of prime factorization, we will find the prime factors, (3 = 3) and also (13 = 13). LCM the 3 and also 13 is the product of prime determinants raised to their respective greatest exponent amongst the number 3 and also 13.⇒ LCM of 3, 13 = 31 × 131 = 39.