LCM of 5 and 15

LCM of 5 and 15 is 15. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. LCM of 5 and 15 is the smallest number among all common multiples of 5 and 15. The first few multiples of 5 and 15 are (5, 10, 15, 20, 25, 30, . . . ) and (15, 30, 45, 60, 75, 90, 105, . . . ) respectively. There are 3 commonly used methods to find LCM of 5 and 15 – by listing multiples, by division method, and by prime factorization.

Also read: Least common multiple

What is LCM of 5 and 15?

The answer to this question is 15. The LCM of 5 and 15 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 15, is the smallest positive integer 15 which is divisible by both 5 and 15 with no remainder.

lcm of 5 and 15

How to Find LCM of 5 and 15?

LCM of 5 and 15 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 5 and 15 Using Prime Factorisation Method

The prime factorisation of 5 and 15, respectively, is given by:

5 = 5

15 = 3 x 5

LCM (5, 15) = 15

LCM of 5 and 15 Using Division Method

We’ll divide the numbers (5, 15) by their prime factors to get the LCM of 5 and 15 using the division method (preferably common). The LCM of 5 and 15 is calculated by multiplying these divisors.

3

5

15

5

5

5

x

1

1

No further division can be done. 

Hence, LCM (5, 15) = 15

LCM of 5 and 15 Using Listing the Multiples

To calculate the LCM of 5 and 15 by listing out the common multiples, list the multiples as shown below:

Multiples of 5

Multiples of 15

5

15

10

30

15

45

20

60

25

75

The smallest common multiple of 5 and 15 is 15.

LCM (5, 15) = 15

Related Articles

Video Lesson on Applications of LCM

LCM of 5 and 15 Solved Example 

Find the smallest number that is divisible by 5 and 15 exactly.

Solution:

The smallest number that is divisible by 5 and 15 exactly is their LCM.

Multiples of 5 and 15:

Multiples of 5 = 5, 10, 15, 20, 25, 30, . . . .

Multiples of 15 = 15, 30, 45, 60, 75, 90, . . . .

Therefore, the LCM of 5 and 15 is 15.

Frequently Asked Questions on LCM of 5 and 15

Q1

What is the LCM of 5 and 15?

The LCM of 5 and 15 is 15. To find the least common multiple of 5 and 15, we need to find the multiples of 5 and 15 (multiples of 5 = 5, 10, 15, 20; multiples of 15 = 15, 30, 45, 60) and choose the smallest multiple that is exactly divisible by 5 and 15, i.e., 15.
Q2

Which of the following is the LCM of 5 and 15? 3, 28, 15, 12

The value of LCM of 5, 15 is the smallest common multiple of 5 and 15. The number satisfying the given condition is 15.
Q3

If the LCM of 15 and 5 is 15, Find its GCF.

LCM(15, 5) × GCF(15, 5) = 15 × 5
Since the LCM of 15 and 5 = 15
⇒ 15 × GCF(15, 5) = 75
Therefore, the GCF (greatest common factor) = 75/15 = 5.

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