LCM the 4 and 15 is the the smallest number amongst all common multiples the 4 and also 15. The first few multiples the 4 and also 15 are (4, 8, 12, 16, 20, 24, . . . ) and also (15, 30, 45, 60, 75, 90, 105, . . . ) respectively. There are 3 frequently used methods to discover LCM that 4 and also 15 - by prime factorization, by department method, and also by listing multiples.

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1.LCM the 4 and also 15
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 4 and also 15 is 60.

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Explanation:

The LCM of 2 non-zero integers, x(4) and y(15), is the smallest positive integer m(60) the is divisible by both x(4) and also y(15) without any type of remainder.


Let's look in ~ the different methods because that finding the LCM that 4 and 15.

By department MethodBy Listing MultiplesBy element Factorization Method

LCM of 4 and also 15 by department Method

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To calculation the LCM of 4 and also 15 by the department method, we will certainly divide the numbers(4, 15) by their prime determinants (preferably common). The product of this divisors offers the LCM of 4 and 15.

Step 3: proceed the measures until only 1s space left in the critical row.

The LCM that 4 and 15 is the product of every prime numbers on the left, i.e. LCM(4, 15) by division method = 2 × 2 × 3 × 5 = 60.

LCM of 4 and also 15 by Listing Multiples

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To calculation the LCM the 4 and also 15 through listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: perform a few multiples the 4 (4, 8, 12, 16, 20, 24, . . . ) and 15 (15, 30, 45, 60, 75, 90, 105, . . . . )Step 2: The usual multiples indigenous the multiples that 4 and 15 space 60, 120, . . .Step 3: The smallest typical multiple that 4 and 15 is 60.

∴ The least common multiple the 4 and also 15 = 60.

LCM of 4 and also 15 by prime Factorization

Prime administer of 4 and 15 is (2 × 2) = 22 and also (3 × 5) = 31 × 51 respectively. LCM the 4 and 15 have the right to be derived by multiplying prime components raised to their respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 4 and 15 by element factorization is 60.

☛ likewise Check:


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FAQs on LCM that 4 and 15

What is the LCM that 4 and 15?

The LCM that 4 and 15 is 60. To uncover the LCM that 4 and 15, we need to discover the multiples the 4 and also 15 (multiples that 4 = 4, 8, 12, 16 . . . . 60; multiples of 15 = 15, 30, 45, 60) and choose the smallest multiple that is exactly divisible through 4 and also 15, i.e., 60.

What is the the very least Perfect Square Divisible by 4 and also 15?

The least number divisible through 4 and 15 = LCM(4, 15)LCM that 4 and 15 = 2 × 2 × 3 × 5 ⇒ least perfect square divisible by every 4 and also 15 = LCM(4, 15) × 3 × 5 = 900 Therefore, 900 is the required number.

How to discover the LCM that 4 and 15 by element Factorization?

To find the LCM of 4 and also 15 making use of prime factorization, us will discover the element factors, (4 = 2 × 2) and (15 = 3 × 5). LCM of 4 and 15 is the product the prime determinants raised to your respective highest exponent amongst the numbers 4 and 15.⇒ LCM of 4, 15 = 22 × 31 × 51 = 60.

If the LCM that 15 and also 4 is 60, find its GCF.

LCM(15, 4) × GCF(15, 4) = 15 × 4Since the LCM the 15 and also 4 = 60⇒ 60 × GCF(15, 4) = 60Therefore, the GCF (greatest usual factor) = 60/60 = 1.

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What is the Relation in between GCF and also LCM of 4, 15?

The following equation deserve to be used to refer the relation between GCF and LCM of 4 and 15, i.e. GCF × LCM = 4 × 15.