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

You are watching: Least common denominator of 15 and 20

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

Answer: LCM the 15 and also 20 is 60.

*

Explanation:

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


The approaches to find the LCM the 15 and also 20 are defined below.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM the 15 and also 20 by prime Factorization

Prime administrate of 15 and also 20 is (3 × 5) = 31 × 51 and (2 × 2 × 5) = 22 × 51 respectively. LCM that 15 and also 20 can be acquired by multiplying prime factors raised to their respective greatest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 15 and 20 by prime factorization is 60.

LCM that 15 and 20 by department Method

*

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

Step 3: proceed the measures until just 1s are left in the last row.

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

LCM that 15 and 20 through Listing Multiples

*

To calculation the LCM that 15 and 20 by listing the end the common multiples, we can follow the given below steps:

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

∴ The least common multiple of 15 and 20 = 60.

☛ also Check:


*


FAQs ~ above LCM the 15 and 20

What is the LCM of 15 and also 20?

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

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

The worth of LCM that 15, 20 is the smallest usual multiple of 15 and also 20. The number solve the given problem is 60.

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

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

See more: Not Anymore Alcohol And Other Drugs Answers : Getting Them Right

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

The adhering to equation have the right to be used to refer the relation between GCF and LCM that 15 and 20, i.e. GCF × LCM = 15 × 20.

What are the techniques to uncover LCM of 15 and 20?

The commonly used approaches to uncover the LCM the 15 and 20 are: