LCM the 3 and 5 is the smallest number amongst all common multiples of 3 and also 5. The first few multiples of 3 and 5 are (3, 6, 9, 12, 15, 18, 21, . . . ) and (5, 10, 15, 20, 25, 30, 35, . . . ) respectively. There are 3 frequently used methods to find LCM of 3 and also 5 - through listing multiples, by prime factorization, and also by division method.

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

Answer: LCM that 3 and also 5 is 15.

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Explanation:

The LCM of 2 non-zero integers, x(3) and y(5), is the smallest optimistic integer m(15) the is divisible through both x(3) and y(5) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM the 3 and 5.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM that 3 and 5 by division Method

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To calculation the LCM the 3 and 5 by the department method, we will divide the numbers(3, 5) by your prime components (preferably common). The product of this divisors gives the LCM that 3 and also 5.

Step 3: continue the measures until only 1s room left in the critical row.

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

LCM that 3 and 5 by Listing Multiples

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

Step 1: perform a few multiples the 3 (3, 6, 9, 12, 15, 18, 21, . . . ) and 5 (5, 10, 15, 20, 25, 30, 35, . . . . )Step 2: The common multiples native the multiples that 3 and also 5 room 15, 30, . . .Step 3: The smallest usual multiple that 3 and also 5 is 15.

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

LCM of 3 and also 5 by element Factorization

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

☛ likewise Check:


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FAQs top top LCM the 3 and also 5

What is the LCM of 3 and also 5?

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

What is the Relation in between GCF and also LCM that 3, 5?

The complying with equation have the right to be supplied to express the relation between GCF and LCM the 3 and also 5, i.e. GCF × LCM = 3 × 5.

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

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

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

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

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Which the the complying with is the LCM the 3 and also 5? 36, 21, 28, 15

The worth of LCM the 3, 5 is the smallest common multiple the 3 and also 5. The number solve the given condition is 15.