LCM of 10 and 40

LCM of 10 and 40 is 40. Among the multiples of 10 and 40, the number evenly divisible by 10 and 40 shows the LCM. Least common multiple of 10 and 40 is the common multiple we get using the multiplication operation. (10, 20, 30, 40, 50, ….) and (40, 80, 120, 160, 200, ….) are the multiples of 10 and 40. Students can learn to calculate the LCM of two numbers by listing multiples, prime factorization and division methods.

Also read: Least common multiple

What is LCM of 10 and 40?

The answer to this question is 40. The LCM of 10 and 40 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 10 and 40, is the smallest positive integer 40 which is divisible by both 10 and 40 with no remainder.

How to Find LCM of 10 and 40?

LCM of 10 and 40 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 10 and 40 Using Prime Factorisation Method

The prime factorisation of 10 and 40, respectively, is given by:

10 = 2 x 5 = 2¹ x 5¹

40 = 2 x 2 x 2 x 5 = 2³ x 5¹ 

LCM (10, 40) = 40

LCM of 10 and 40 Using Division Method

We’ll divide the numbers (10, 40) by their prime factors to get the LCM of 10 and 40 using the division method (preferably common). The LCM of 10 and 40 is calculated by multiplying these divisors.

No further division can be done. 

Hence, LCM (10, 40) = 40

LCM of 10 and 40 Using Listing the Multiples

To calculate the LCM of 10 and 40 by listing out the common multiples, list the multiples as shown below

LCM (10, 40) = 40

Related Articles

• Prime Factorization and Division Method for LCM and HCF
• Prime Factors
• Properties of HCF and LCM
• LCM Formula

Video Lesson on Applications of LCM

LCM of 10 and 40 Solved Examples 

Question: Product of two numbers is 400. What is the LCM if GCD is 10?

Solution:

It is given that

Product = 400

GCD = 10

We know that

LCM x GCD = Product of two numbers

LCM = Product of two numbers/ GCD

LCM = 400/10 = 40

Hence, the LCM is 40.