LCM of 5 and 40

LCM of 5 and 40 is 40. The least common multiple of 5 and 40 can be obtained with ease from the common multiples. The multiples of 5 are (5, 10, 15, 20, 25, 30, 35, 40, ….) and the multiples of 40 are (40, 80, 120, 160, 200, 240, ….) respectively. Prime factorisation, listing of the multiples and division are the most commonly used methods to find the LCM

Also read: Least common multiple

What is LCM of 5 and 40?

The answer to this question is 40. The LCM of 5 and 40 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5 and 40, is the smallest positive integer 40 which is divisible by both 5 and 40 with no remainder.

Lcm Of 5 And 40

How to Find LCM of 5 and 40?

LCM of 5 and 40 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 5 and 40 Using Prime Factorisation Method

The prime factorisation of 5 and 40, respectively, is given by:

5 = 5 = 5¹

40 = 2 x 2 x 2 x 5 = 2³ x 5¹

LCM (5, 40) = 40

LCM of 5 and 40 Using Division Method

We’ll divide the numbers (5, 40) by their prime factors to get the LCM of 5 and 40 using the division method (preferably common). The LCM of 5 and 40 is calculated by multiplying these divisors.

2

5

40

2

5

20

2

5

10

5

5

5

x

1

1

No further division can be done. 

Hence, LCM (5, 40) = 40

LCM of 5 and 40 Using Listing the Multiples

To calculate the LCM of 5 and 40 by listing out the common multiples, list the multiples as shown below

Multiples of 5

Multiples of 40

5

40

10

80

15

120

20

160

25

200

30

240

35

280

40

320

LCM (5, 40) = 40

Related Articles

Video Lesson on Applications of LCM

LCM of 5 and 40 Solved Examples 

Question: If GCD = 5 and product of two numbers = 200, find the LCM.

Solution:

Given

GCD = 5

Product = 200

GCD x LCM = Product

LCM = Product/GCD

LCM = 200/5

LCM = 40

Hence, LCM of 5 and 40 is 40.

Frequently Asked Questions on LCM of 5 and 40

Q1

What is the LCM of 5 and 40?

The LCM of 5 and 40 is 40.
Q2

What is the GCF if the LCM of 5 and 40 is 40?

LCM x GCF = 5 x 40

Given

LCM of 5 and 40 is 40

40 x GCF = 200

GCF = 200/40 = 5

Q3

What are the methods which can be applied to find the LCM of 5 and 40?

The methods which can be applied to find the LCM of 5 and 40 are

Prime Factorisation

Division method

Listing the multiples

Q4

The LCM and GCD of two numbers are 40 and 5. If one number is 5, what is the other number?

Consider a as the other number

GCD x LCM = 5 x b

b = (GCD x LCM)/5

b = (5 x 40)/5

b = 40

Hence, the other number is 40.

Q5

In 5, 32, 3, 40, find the LCM of 5 and 40.

LCM is the smallest common multiple which is divisible evenly by 5 and 40. The number which satisfies this condition is 40.

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