LCM that 20 and 25 is the smallest number among all usual multiples that 20 and 25. The first few multiples of 20 and also 25 are (20, 40, 60, 80, 100, 120, 140, . . . ) and also (25, 50, 75, 100, . . . ) respectively. There room 3 generally used approaches to uncover LCM that 20 and also 25 - by element factorization, by division method, and by listing multiples.

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1.LCM of 20 and 25
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 20 and also 25 is 100.

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Explanation:

The LCM of two non-zero integers, x(20) and y(25), is the smallest optimistic integer m(100) the is divisible through both x(20) and y(25) without any remainder.


The methods to discover the LCM of 20 and 25 are explained below.

By element Factorization MethodBy Listing MultiplesBy department Method

LCM the 20 and also 25 by prime Factorization

Prime administer of 20 and 25 is (2 × 2 × 5) = 22 × 51 and (5 × 5) = 52 respectively. LCM of 20 and also 25 deserve to be obtained by multiplying prime components raised to your respective greatest power, i.e. 22 × 52 = 100.Hence, the LCM of 20 and also 25 by prime factorization is 100.

LCM the 20 and also 25 through Listing Multiples

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To calculate the LCM that 20 and 25 through listing the end the typical multiples, we deserve to follow the given below steps:

Step 1: perform a couple of multiples that 20 (20, 40, 60, 80, 100, 120, 140, . . . ) and 25 (25, 50, 75, 100, . . . . )Step 2: The usual multiples from the multiples of 20 and 25 are 100, 200, . . .Step 3: The smallest typical multiple of 20 and also 25 is 100.

∴ The least typical multiple of 20 and also 25 = 100.

LCM that 20 and 25 by division Method

To calculate the LCM the 20 and 25 by the division method, we will certainly divide the numbers(20, 25) by your prime factors (preferably common). The product of this divisors gives the LCM that 20 and 25.

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

The LCM of 20 and also 25 is the product of all prime numbers on the left, i.e. LCM(20, 25) by department method = 2 × 2 × 5 × 5 = 100.

☛ likewise Check:


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FAQs on LCM of 20 and also 25

What is the LCM the 20 and 25?

The LCM that 20 and also 25 is 100. To find the LCM (least typical multiple) the 20 and also 25, we require to find the multiples of 20 and also 25 (multiples that 20 = 20, 40, 60, 80 . . . . 100; multiples the 25 = 25, 50, 75, 100) and also choose the the smallest multiple the is exactly divisible by 20 and 25, i.e., 100.

What room the methods to find LCM of 20 and also 25?

The commonly used techniques to uncover the LCM of 20 and also 25 are:

Prime administer MethodDivision MethodListing Multiples

What is the least Perfect Square Divisible through 20 and 25?

The the very least number divisible by 20 and 25 = LCM(20, 25)LCM of 20 and also 25 = 2 × 2 × 5 × 5 ⇒ least perfect square divisible by each 20 and 25 = 100 Therefore, 100 is the required number.

Which that the complying with is the LCM the 20 and also 25? 24, 50, 16, 100

The worth of LCM of 20, 25 is the smallest usual multiple that 20 and also 25. The number to solve the given problem is 100.

If the LCM that 25 and 20 is 100, find its GCF.

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LCM(25, 20) × GCF(25, 20) = 25 × 20Since the LCM the 25 and 20 = 100⇒ 100 × GCF(25, 20) = 500Therefore, the GCF = 500/100 = 5.