LCM of 5, 6 and 10

LCM of 5, 6 and 10 is 30. Memorizing the steps to find the least common multiple of 5, 6 and 10 is easy for the students using this article. (5, 10, 15, 20, 25, 30, 35, ….), (6, 12, 18, 24, 30, 36, 42, …..) and (10, 20, 30, 40, 50, 60, 70,….) are the multiples of 5, 6 and 10. We can use methods like prime factorisation, listing the multiples and division to find the LCM of two numbers.

Also read: Least common multiple

What is LCM of 5, 6 and 10?

The answer to this question is 30. The LCM of 5, 6 and 10 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 5, 6 and 10, is the smallest positive integer 30 which is divisible by both 5, 6 and 10 with no remainder.

lcm of 5 6 and 10

How to Find LCM of 5, 6 and 10?

LCM of 5, 6 and 10 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 5, 6 and 10 Using Prime Factorisation Method

The prime factorisation of 5, 6 and 10, respectively, is given by:

5 = 5¹

6 = 2 x 3 = 2¹ x 3¹

10 = 2 x 5 = 2¹ x 5¹

LCM (5, 6, 10) = 30

LCM of 5, 6 and 10 Using Division Method

We’ll divide the numbers (5, 6, 10) by their prime factors to get the LCM of 5, 6 and 10 using the division method (preferably common). The LCM of 5, 6 and 10 is calculated by multiplying these divisors.

2

5

6

10

3

5

3

5

5

5

1

5

x

1

1

1

No further division can be done. 

Hence, LCM (5, 6, 10) = 30

LCM of 5, 6 and 10 Using Listing the Multiples

To calculate the LCM of 5, 6 and 10 by listing out the common multiples, list the multiples as shown below.

Multiples of 5

Multiples of 6

Multiples of 10

5

6

10

10

12

20

15

18

30

20

24

40

25

30

50

30

36

60

35

42

70

LCM (5, 6, 10) = 30

Related Articles

Video Lesson on Applications of LCM

LCM of 5, 6 and 10 Solved Examples 

Question: Calculate the smallest number which is exactly divisible by 5, 6 and 10.

Solution:

The smallest number which is exactly divisible by 5, 6 and 10 is the LCM value

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, ….

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, ….

Multiples of 10 = 10, 20, 30, 40, 50, 60, …..

Hence, the LCM is 30.

Frequently Asked Questions on LCM of 5, 6 and 10

Q1

From the numbers 35, 48, 62, 30, 21, what is the LCM of 5, 6 and 10?

The smallest multiple that is common and divisible by 5, 6 and 10 gives the LCM value. The number 30 satisfies this condition.
Q2

Which are the methods used to determine the LCM of 5, 6 and 10?

The methods used to determine the LCM of 5, 6 and 10 are

Prime factorisation

Division

Listing the multiples

Q3

Show the relation between GCF and LCM of 5, 6 and 10.

The relation between GCF and LCM of 5, 6 and 10 is

LCM x GCF = 30 x 42

LCM x GCF = 1260

Q4

What is the LCM of 5, 6 and 10?

The LCM of 5, 6 and 10 is 30.
Q5

Write the relation between GCF and LCM of 5, 6 and 10.

The relation between GCF and LCM of 5, 6 and 10 is

GCF x LCM = 5 x 6 x 10

GCF x LCM = 300

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*