LCM the 5, 8, and 10 is the smallest number amongst all typical multiples that 5, 8, and also 10. The first couple of multiples that 5, 8, and also 10 are (5, 10, 15, 20, 25 . . .), (8, 16, 24, 32, 40 . . .), and (10, 20, 30, 40, 50 . . .) respectively. There are 3 generally used methods to discover LCM that 5, 8, 10 - by division method, by listing multiples, and also by element factorization.

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1.LCM that 5, 8, and also 10
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 5, 8, and also 10 is 40.

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Explanation:

The LCM of 3 non-zero integers, a(5), b(8), and c(10), is the smallest positive integer m(40) the is divisible by a(5), b(8), and c(10) without any type of remainder.


The approaches to find the LCM the 5, 8, and also 10 are explained below.

By Listing MultiplesBy prime Factorization MethodBy department Method

LCM that 5, 8, and also 10 by Listing Multiples

To calculation the LCM the 5, 8, 10 by listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a few multiples of 5 (5, 10, 15, 20, 25 . . .), 8 (8, 16, 24, 32, 40 . . .), and also 10 (10, 20, 30, 40, 50 . . .).Step 2: The typical multiples indigenous the multiples the 5, 8, and 10 space 40, 80, . . .Step 3: The smallest typical multiple of 5, 8, and 10 is 40.

∴ The least common multiple of 5, 8, and 10 = 40.

LCM the 5, 8, and also 10 by prime Factorization

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

LCM that 5, 8, and 10 by division Method

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To calculate the LCM the 5, 8, and 10 through the division method, we will divide the numbers(5, 8, 10) by your prime factors (preferably common). The product of this divisors gives the LCM of 5, 8, and 10.

Step 2: If any of the offered numbers (5, 8, 10) is a many of 2, divide it through 2 and also write the quotient listed below it. Lug down any kind of number the is not divisible through the element number.Step 3: proceed the procedures until only 1s space left in the critical row.

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

☛ likewise Check:


Example 2: Verify the relationship between the GCD and also LCM the 5, 8, and also 10.

Solution:

The relation in between GCD and also LCM the 5, 8, and also 10 is given as,LCM(5, 8, 10) = <(5 × 8 × 10) × GCD(5, 8, 10)>/⇒ element factorization that 5, 8 and also 10:

5 = 518 = 2310 = 21 × 51

∴ GCD the (5, 8), (8, 10), (5, 10) and (5, 8, 10) = 1, 2, 5 and also 1 respectively.Now, LHS = LCM(5, 8, 10) = 40.And, RHS = <(5 × 8 × 10) × GCD(5, 8, 10)>/ = <(400) × 1>/<1 × 2 × 5> = 40LHS = RHS = 40.Hence verified.


Example 3: calculation the LCM that 5, 8, and also 10 utilizing the GCD of the provided numbers.

Solution:

Prime administer of 5, 8, 10:

5 = 518 = 2310 = 21 × 51

Therefore, GCD(5, 8) = 1, GCD(8, 10) = 2, GCD(5, 10) = 5, GCD(5, 8, 10) = 1We know,LCM(5, 8, 10) = <(5 × 8 × 10) × GCD(5, 8, 10)>/LCM(5, 8, 10) = (400 × 1)/(1 × 2 × 5) = 40⇒LCM(5, 8, 10) = 40


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FAQs ~ above LCM that 5, 8, and 10

What is the LCM of 5, 8, and 10?

The LCM the 5, 8, and also 10 is 40. To find the least typical multiple (LCM) of 5, 8, and 10, we require to uncover the multiples that 5, 8, and 10 (multiples the 5 = 5, 10, 15, 20 . . . . 40 . . . . ; multiples the 8 = 8, 16, 24, 32 . . . . 40 . . . . ; multiples of 10 = 10, 20, 30, 40 . . . .) and also choose the smallest multiple the is precisely divisible by 5, 8, and also 10, i.e., 40.

What is the Relation between GCF and also LCM that 5, 8, 10?

The following equation can be provided to to express the relation in between GCF and LCM the 5, 8, 10, i.e. LCM(5, 8, 10) = <(5 × 8 × 10) × GCF(5, 8, 10)>/.

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What are the techniques to find LCM the 5, 8, 10?

The typically used techniques to discover the LCM that 5, 8, 10 are:

Listing MultiplesDivision MethodPrime administer Method

Which the the following is the LCM the 5, 8, and 10? 5, 40, 110, 36

The worth of LCM the 5, 8, 10 is the smallest typical multiple the 5, 8, and also 10. The number solve the given problem is 40.