LCM the 8 and also 10 is the smallest number amongst all typical multiples of 8 and also 10. The first few multiples of 8 and 10 are (8, 16, 24, 32, 40, . . . ) and (10, 20, 30, 40, . . . ) respectively. There room 3 frequently used methods to discover LCM that 8 and 10 - by element factorization, through listing multiples, and by division method.

You are watching: What is the lcm of 8 and 10

1.LCM of 8 and 10
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 10 is 40.

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Explanation:

The LCM of two non-zero integers, x(8) and y(10), is the smallest confident integer m(40) that is divisible through both x(8) and also y(10) without any type of remainder.


Let's look at the various methods for finding the LCM of 8 and also 10.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM that 8 and 10 by prime Factorization

Prime administrate of 8 and also 10 is (2 × 2 × 2) = 23 and also (2 × 5) = 21 × 51 respectively. LCM the 8 and 10 deserve to be obtained by multiplying prime determinants raised to your respective greatest power, i.e. 23 × 51 = 40.Hence, the LCM the 8 and 10 by element factorization is 40.

LCM of 8 and also 10 by Listing Multiples

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To calculation the LCM that 8 and also 10 by listing out the usual multiples, we can follow the given below steps:

Step 1: list a couple of multiples the 8 (8, 16, 24, 32, 40, . . . ) and also 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples indigenous the multiples that 8 and 10 are 40, 80, . . .Step 3: The smallest common multiple that 8 and also 10 is 40.

∴ The least usual multiple that 8 and 10 = 40.

LCM of 8 and also 10 by department Method

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To calculate the LCM the 8 and 10 by the division method, we will divide the numbers(8, 10) by your prime factors (preferably common). The product of these divisors offers the LCM that 8 and 10.

Step 3: proceed the procedures until just 1s space left in the last row.

The LCM that 8 and 10 is the product of all prime number on the left, i.e. LCM(8, 10) by division method = 2 × 2 × 2 × 5 = 40.

☛ additionally Check:


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FAQs ~ above LCM of 8 and also 10

What is the LCM the 8 and 10?

The LCM of 8 and also 10 is 40. To find the least typical multiple of 8 and 10, we require to uncover the multiples the 8 and 10 (multiples of 8 = 8, 16, 24, 32 . . . . 40; multiples that 10 = 10, 20, 30, 40) and choose the the smallest multiple that is specifically divisible by 8 and 10, i.e., 40.

What is the Relation in between GCF and LCM of 8, 10?

The following equation deserve to be offered to refer the relation between GCF and LCM that 8 and 10, i.e. GCF × LCM = 8 × 10.

If the LCM that 10 and 8 is 40, discover its GCF.

LCM(10, 8) × GCF(10, 8) = 10 × 8Since the LCM that 10 and also 8 = 40⇒ 40 × GCF(10, 8) = 80Therefore, the greatest common factor (GCF) = 80/40 = 2.

What is the least Perfect Square Divisible by 8 and also 10?

The least number divisible by 8 and also 10 = LCM(8, 10)LCM the 8 and 10 = 2 × 2 × 2 × 5 ⇒ least perfect square divisible by every 8 and also 10 = LCM(8, 10) × 2 × 5 = 400 Therefore, 400 is the compelled number.

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Which of the adhering to is the LCM that 8 and 10? 36, 40, 35, 3

The value of LCM that 8, 10 is the smallest common multiple of 8 and 10. The number satisfying the given problem is 40.