LCM the 3 and also 5 is the smallest number among all common multiples that 3 and also 5. The first few multiples of 3 and 5 room (3, 6, 9, 12, 15, 18, 21, . . . ) and (5, 10, 15, 20, 25, 30, 35, . . . ) respectively. There room 3 frequently used techniques to uncover LCM of 3 and 5 - by listing multiples, by element factorization, and by department method.

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1.LCM of 3 and also 5
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 3 and 5 is 15.

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Explanation:

The LCM of 2 non-zero integers, x(3) and also y(5), is the smallest hopeful integer m(15) that is divisible by both x(3) and also y(5) without any kind of remainder.


Let's look at the different methods for finding the LCM of 3 and 5.

By department MethodBy Listing MultiplesBy element Factorization Method

LCM the 3 and also 5 by division Method

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To calculation the LCM of 3 and also 5 by the division method, we will divide the numbers(3, 5) by their prime determinants (preferably common). The product of this divisors offers the LCM the 3 and also 5.

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

The LCM of 3 and 5 is the product of all prime numbers on the left, i.e. LCM(3, 5) by department method = 3 × 5 = 15.

LCM of 3 and also 5 through Listing Multiples

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To calculation the LCM that 3 and 5 through listing out the common multiples, we can follow the given below steps:

Step 1: perform a couple of multiples the 3 (3, 6, 9, 12, 15, 18, 21, . . . ) and 5 (5, 10, 15, 20, 25, 30, 35, . . . . )Step 2: The usual multiples from the multiples that 3 and also 5 space 15, 30, . . .Step 3: The smallest typical multiple of 3 and also 5 is 15.

∴ The least typical multiple that 3 and 5 = 15.

LCM of 3 and also 5 by prime Factorization

Prime administer of 3 and also 5 is (3) = 31 and also (5) = 51 respectively. LCM the 3 and 5 have the right to be derived by multiplying prime factors raised to your respective highest possible power, i.e. 31 × 51 = 15.Hence, the LCM the 3 and also 5 by element factorization is 15.

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FAQs top top LCM the 3 and also 5

What is the LCM the 3 and 5?

The LCM the 3 and 5 is 15. To uncover the least typical multiple the 3 and also 5, we need to uncover the multiples that 3 and 5 (multiples that 3 = 3, 6, 9, 12 . . . . 15; multiples of 5 = 5, 10, 15, 20) and choose the the smallest multiple that is precisely divisible by 3 and also 5, i.e., 15.

What is the Relation between GCF and LCM of 3, 5?

The complying with equation have the right to be used to refer the relation in between GCF and also LCM that 3 and also 5, i.e. GCF × LCM = 3 × 5.

What is the the very least Perfect Square Divisible by 3 and also 5?

The least number divisible by 3 and also 5 = LCM(3, 5)LCM that 3 and also 5 = 3 × 5 ⇒ the very least perfect square divisible by every 3 and also 5 = LCM(3, 5) × 3 × 5 = 225 Therefore, 225 is the forced number.

If the LCM of 5 and 3 is 15, find its GCF.

LCM(5, 3) × GCF(5, 3) = 5 × 3Since the LCM the 5 and also 3 = 15⇒ 15 × GCF(5, 3) = 15Therefore, the greatest usual factor = 15/15 = 1.

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Which the the adhering to is the LCM that 3 and 5? 36, 21, 28, 15

The value of LCM that 3, 5 is the smallest common multiple the 3 and also 5. The number solve the given problem is 15.