LCM of 20 and also 25 is the the smallest number among all typical multiples that 20 and 25. The first few multiples the 20 and also 25 space (20, 40, 60, 80, 100, 120, 140, . . . ) and also (25, 50, 75, 100, . . . ) respectively. There room 3 frequently used techniques to discover LCM of 20 and 25 - by element factorization, by department method, and by listing multiples.

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

Answer: LCM of 20 and 25 is 100.

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Explanation:

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


The approaches to find the LCM that 20 and also 25 are defined below.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM of 20 and also 25 by element Factorization

Prime administrate of 20 and 25 is (2 × 2 × 5) = 22 × 51 and (5 × 5) = 52 respectively. LCM of 20 and also 25 have the right to be derived by multiply prime factors raised to their respective highest power, i.e. 22 × 52 = 100.Hence, the LCM of 20 and 25 by element factorization is 100.

LCM of 20 and also 25 through Listing Multiples

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

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

∴ The least usual multiple that 20 and also 25 = 100.

LCM that 20 and also 25 by division Method

To calculation the LCM the 20 and 25 by the department method, we will certainly divide the numbers(20, 25) by their prime components (preferably common). The product of these divisors provides the LCM that 20 and also 25.

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

The LCM the 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.

☛ additionally Check:


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FAQs on LCM of 20 and 25

What is the LCM that 20 and also 25?

The LCM of 20 and 25 is 100. To discover the LCM (least common multiple) of 20 and also 25, we need to uncover the multiples the 20 and 25 (multiples the 20 = 20, 40, 60, 80 . . . . 100; multiples the 25 = 25, 50, 75, 100) and also choose the the smallest multiple that is exactly divisible through 20 and also 25, i.e., 100.

What space the approaches to uncover LCM the 20 and also 25?

The commonly used methods to find the LCM the 20 and also 25 are:

Prime administer MethodDivision MethodListing Multiples

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

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

Which that the following is the LCM the 20 and 25? 24, 50, 16, 100

The value of LCM that 20, 25 is the smallest usual multiple that 20 and also 25. The number satisfying the given problem is 100.

If the LCM of 25 and also 20 is 100, uncover its GCF.

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