LCM of 3 and 10 is the the smallest number amongst all common multiples the 3 and 10. The first couple of multiples the 3 and 10 space (3, 6, 9, 12, . . . ) and also (10, 20, 30, 40, . . . ) respectively. There space 3 commonly used methods to uncover LCM of 3 and 10 - by listing multiples, by element factorization, and by division method.

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

Answer: LCM the 3 and 10 is 30.

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Explanation:

The LCM of 2 non-zero integers, x(3) and y(10), is the smallest hopeful integer m(30) the is divisible through both x(3) and also y(10) without any type of remainder.


The approaches to find the LCM that 3 and 10 are defined below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM the 3 and 10 by Listing Multiples

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To calculate the LCM the 3 and also 10 through listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples of 3 (3, 6, 9, 12, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples indigenous the multiples of 3 and 10 space 30, 60, . . .Step 3: The smallest usual multiple of 3 and 10 is 30.

∴ The least usual multiple that 3 and also 10 = 30.

LCM of 3 and also 10 by division Method

To calculation the LCM the 3 and 10 by the department method, we will certainly divide the numbers(3, 10) by their prime determinants (preferably common). The product of this divisors gives the LCM that 3 and also 10.

Step 3: proceed the actions until just 1s room left in the critical row.

The LCM of 3 and also 10 is the product of every prime number on the left, i.e. LCM(3, 10) by division method = 2 × 3 × 5 = 30.

LCM that 3 and also 10 by prime Factorization

Prime administrate of 3 and 10 is (3) = 31 and also (2 × 5) = 21 × 51 respectively. LCM the 3 and 10 can be obtained by multiply prime factors raised to their respective greatest power, i.e. 21 × 31 × 51 = 30.Hence, the LCM of 3 and 10 by prime factorization is 30.

☛ likewise Check:


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FAQs top top LCM the 3 and also 10

What is the LCM that 3 and also 10?

The LCM of 3 and 10 is 30. To find the LCM of 3 and also 10, we require to discover the multiples of 3 and 10 (multiples that 3 = 3, 6, 9, 12 . . . . 30; multiples that 10 = 10, 20, 30, 40) and also choose the smallest multiple the is exactly divisible by 3 and also 10, i.e., 30.

If the LCM the 10 and 3 is 30, find its GCF.

LCM(10, 3) × GCF(10, 3) = 10 × 3Since the LCM the 10 and 3 = 30⇒ 30 × GCF(10, 3) = 30Therefore, the GCF = 30/30 = 1.

How to discover the LCM of 3 and also 10 by element Factorization?

To find the LCM the 3 and also 10 making use of prime factorization, us will uncover the element factors, (3 = 3) and also (10 = 2 × 5). LCM the 3 and also 10 is the product that prime determinants raised to their respective highest exponent amongst the number 3 and 10.⇒ LCM the 3, 10 = 21 × 31 × 51 = 30.

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What room the approaches to uncover LCM that 3 and also 10?

The typically used techniques to uncover the LCM the 3 and 10 are:

Listing MultiplesPrime administer MethodDivision Method

What is the the very least Perfect Square Divisible by 3 and also 10?

The the very least number divisible through 3 and also 10 = LCM(3, 10)LCM of 3 and 10 = 2 × 3 × 5 ⇒ least perfect square divisible by every 3 and 10 = LCM(3, 10) × 2 × 3 × 5 = 900 Therefore, 900 is the required number.