LCM the 15 and also 20 is the smallest number amongst all typical multiples the 15 and also 20. The first few multiples of 15 and also 20 room (15, 30, 45, 60, 75, 90, 105, . . . ) and also (20, 40, 60, 80, 100, 120, . . . ) respectively. There room 3 generally used methods to find LCM that 15 and 20 - by department method, by element factorization, and also by listing multiples.

You are watching: Common multiples of 15 and 20

1.LCM the 15 and 20
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 15 and 20 is 60.

*

Explanation:

The LCM of 2 non-zero integers, x(15) and also y(20), is the smallest hopeful integer m(60) that is divisible through both x(15) and y(20) without any kind of remainder.


The techniques to uncover the LCM the 15 and also 20 are explained below.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM of 15 and 20 by prime Factorization

Prime administer of 15 and 20 is (3 × 5) = 31 × 51 and (2 × 2 × 5) = 22 × 51 respectively. LCM of 15 and 20 have the right to be derived by multiplying prime factors raised to your respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM of 15 and 20 by prime factorization is 60.

LCM that 15 and 20 by division Method

*

To calculation the LCM of 15 and 20 by the division method, we will divide the numbers(15, 20) by their prime factors (preferably common). The product of this divisors provides the LCM the 15 and also 20.

Step 3: proceed the steps until just 1s room left in the critical row.

The LCM the 15 and 20 is the product of all prime number on the left, i.e. LCM(15, 20) by department method = 2 × 2 × 3 × 5 = 60.

LCM that 15 and 20 by Listing Multiples

*

To calculate the LCM that 15 and 20 through listing out the typical multiples, we deserve to follow the given below steps:

Step 1: perform a couple of multiples of 15 (15, 30, 45, 60, 75, 90, 105, . . . ) and also 20 (20, 40, 60, 80, 100, 120, . . . . )Step 2: The common multiples native the multiples of 15 and 20 room 60, 120, . . .Step 3: The smallest usual multiple that 15 and also 20 is 60.

∴ The least typical multiple that 15 and also 20 = 60.

☛ additionally Check:


*


FAQs ~ above LCM the 15 and 20

What is the LCM of 15 and 20?

The LCM of 15 and also 20 is 60. To uncover the LCM (least usual multiple) that 15 and 20, we require to find the multiples of 15 and also 20 (multiples the 15 = 15, 30, 45, 60; multiples of 20 = 20, 40, 60, 80) and also choose the the smallest multiple the is specifically divisible by 15 and also 20, i.e., 60.

Which of the complying with is the LCM that 15 and 20? 25, 18, 35, 60

The value of LCM the 15, 20 is the smallest common multiple of 15 and 20. The number to solve the given problem is 60.

If the LCM the 20 and 15 is 60, find its GCF.

LCM(20, 15) × GCF(20, 15) = 20 × 15Since the LCM that 20 and 15 = 60⇒ 60 × GCF(20, 15) = 300Therefore, the greatest common factor (GCF) = 300/60 = 5.

See more: Thin Layer Chromatography Advantages And Disadvantages, Thin Layer Chromatography Principle

What is the Relation between GCF and also LCM of 15, 20?

The complying with equation have the right to be provided to express the relation in between GCF and LCM of 15 and 20, i.e. GCF × LCM = 15 × 20.

What space the methods to discover LCM the 15 and also 20?

The typically used methods to find the LCM that 15 and also 20 are: