LCM of 4 and 5 is the the smallest number amongst all typical multiples the 4 and 5. The first few multiples the 4 and 5 are (4, 8, 12, 16, . . . ) and (5, 10, 15, 20, . . . ) respectively. There room 3 generally used methods to uncover LCM the 4 and 5 - by division method, by prime factorization, and also by listing multiples.

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

Answer: LCM of 4 and 5 is 20.

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Explanation:

The LCM of two non-zero integers, x(4) and y(5), is the smallest optimistic integer m(20) the is divisible through both x(4) and also y(5) without any type of remainder.


Let's look in ~ the different methods because that finding the LCM the 4 and 5.

By department MethodBy Listing MultiplesBy prime Factorization Method

LCM that 4 and also 5 by department Method

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To calculate the LCM the 4 and 5 through the department method, we will divide the numbers(4, 5) by their prime factors (preferably common). The product of these divisors gives the LCM of 4 and 5.

Step 3: continue the actions until just 1s space left in the last row.

The LCM the 4 and also 5 is the product of every prime numbers on the left, i.e. LCM(4, 5) by division method = 2 × 2 × 5 = 20.

LCM the 4 and 5 by Listing Multiples

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To calculate the LCM of 4 and 5 through listing the end the usual multiples, we deserve to follow the given listed below steps:

Step 1: list a couple of multiples of 4 (4, 8, 12, 16, . . . ) and 5 (5, 10, 15, 20, . . . . )Step 2: The common multiples indigenous the multiples that 4 and also 5 are 20, 40, . . .Step 3: The smallest typical multiple the 4 and 5 is 20.

∴ The least usual multiple of 4 and also 5 = 20.

LCM the 4 and also 5 by element Factorization

Prime administer of 4 and 5 is (2 × 2) = 22 and (5) = 51 respectively. LCM of 4 and 5 deserve to be obtained by multiply prime factors raised to their respective greatest power, i.e. 22 × 51 = 20.Hence, the LCM the 4 and also 5 by prime factorization is 20.

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FAQs on LCM of 4 and also 5

What is the LCM of 4 and 5?

The LCM of 4 and also 5 is 20. To discover the LCM of 4 and also 5, we need to find the multiples the 4 and 5 (multiples the 4 = 4, 8, 12, 16 . . . . 20; multiples of 5 = 5, 10, 15, 20) and choose the the smallest multiple that is precisely divisible through 4 and also 5, i.e., 20.

How to uncover the LCM that 4 and 5 by element Factorization?

To find the LCM the 4 and also 5 using prime factorization, we will discover the element factors, (4 = 2 × 2) and (5 = 5). LCM the 4 and 5 is the product of prime components raised to your respective highest possible exponent amongst the number 4 and also 5.⇒ LCM the 4, 5 = 22 × 51 = 20.

What is the least Perfect Square Divisible through 4 and 5?

The the very least number divisible by 4 and 5 = LCM(4, 5)LCM of 4 and also 5 = 2 × 2 × 5 ⇒ least perfect square divisible by each 4 and also 5 = LCM(4, 5) × 5 = 100 Therefore, 100 is the required number.

If the LCM the 5 and 4 is 20, uncover its GCF.

LCM(5, 4) × GCF(5, 4) = 5 × 4Since the LCM that 5 and also 4 = 20⇒ 20 × GCF(5, 4) = 20Therefore, the GCF (greatest common factor) = 20/20 = 1.

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Which of the complying with is the LCM of 4 and also 5? 5, 21, 45, 20

The worth of LCM the 4, 5 is the smallest typical multiple of 4 and 5. The number satisfying the given condition is 20.