LCM of 15 and 90

LCM of 15 and 90 is 90.The Least/Lowest Common multiple known as LCM is the smallest number that is divisible by the given numbers. In the given set of numbers 15 and 90, 90 is the first(least or smallest) number that is common in the set of multiples of 15 and 90. The LCM is also known as LCD, Least Common Divisor. You can use the LCM with Examples to find out more about LCM. 

What is LCM of 15 and 90

The Least Common Multiple or Lowest Common Multiple of 15 and 90 is 90.

lcm of 15 and 90

How to Find LCM of 15 and 90?

LCM of 15 and 90 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 15 and 90 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers 15 and 90 can be expressed as;

15 = 3 × 5

90 = 2 × 3 × 3 × 5

15 is also the common factor for 90, hence 15 along with other factors of 90 are multiplied to get the LCM.

LCM (15, 90) = 2 × 3 × 3 × 5 = 90

LCM of 15 and 90 Using Division Method

In the Division Method, the given set of numbers 15 and 90 are divided by common prime divisors. These common prime divisors along with other prime divisors of 90 to get the LCM.

2

15

90

3

15

45

3

5

15

5

5

5

×

1

1

LCM (15, 90) = 2 × 3 × 3 × 5 = 90

LCM of 15 and 90 Using Listing the Multiples

By listing all the multiples of 15 and 90, we can identify the LCM. Below is the list of multiples for 15 and 90.

Multiples of 15

Multiples of 90

15

90

30

180

45

270

60

360

75

450

90

540

105

630

LCM (15, 90) = 90

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 15 and 90?

Answer: 90 is the smallest number that is divisible by both 15 and 90. 

What is the LCM for 5, 3, 15 and 90? 

Answer: LCM for 5, 3, 15 and 90 is 90.

Frequently Asked Questions on LCM of 15 and 90

What is the LCM of 15 and 90?

The LCM of 15 and 90 is 90.

Is the LCM of 15 and 90 the same as the HCF of 15 and 90?

No. Least Common Multiple of 15 and 90 is 90 and Highest Common Factors of 15 and 90 is 15.

What are the common factors of 15 and 90?

3, 5 and 15 are the common factors in the numbers 15 and 90.

What are the first 3 common multiples of 15 and 90?

The first three common multiples of 15 and 90 are 90, 180, and 270.

Is the LCM of 5 and 15 the same as the LCM of 9 and 90?

No. LCM of 5 and 15 is 15, whereas the LCM of 9 and 90 is 90. They are not the same.

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