LCM of 25 and also 45 is the smallest number amongst all usual multiples the 25 and 45. The first few multiples of 25 and 45 space (25, 50, 75, 100, 125, 150, 175, . . . ) and also (45, 90, 135, 180, . . . ) respectively. There are 3 commonly used approaches to find LCM that 25 and 45 - by division method, by listing multiples, and also by prime factorization.

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 1 LCM of 25 and 45 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM that 25 and also 45 is 225.

Explanation:

The LCM of two non-zero integers, x(25) and also y(45), is the smallest positive integer m(225) the is divisible by both x(25) and also y(45) without any remainder.

The approaches to uncover the LCM the 25 and also 45 are explained below.

By prime Factorization MethodBy division MethodBy Listing Multiples

### LCM the 25 and 45 by prime Factorization

Prime administer of 25 and also 45 is (5 × 5) = 52 and (3 × 3 × 5) = 32 × 51 respectively. LCM that 25 and also 45 have the right to be derived by multiplying prime components raised to your respective greatest power, i.e. 32 × 52 = 225.Hence, the LCM the 25 and 45 by element factorization is 225.

### LCM that 25 and also 45 by division Method

To calculation the LCM that 25 and 45 through the division method, we will certainly divide the numbers(25, 45) by your prime components (preferably common). The product of these divisors provides the LCM that 25 and 45.

Step 3: continue the steps until only 1s are left in the last row.

The LCM of 25 and also 45 is the product of every prime number on the left, i.e. LCM(25, 45) by division method = 3 × 3 × 5 × 5 = 225.

### LCM of 25 and 45 through Listing Multiples

To calculation the LCM that 25 and also 45 by listing out the common multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples of 25 (25, 50, 75, 100, 125, 150, 175, . . . ) and 45 (45, 90, 135, 180, . . . . )Step 2: The typical multiples indigenous the multiples the 25 and 45 space 225, 450, . . .Step 3: The smallest common multiple that 25 and also 45 is 225.

∴ The least common multiple that 25 and also 45 = 225.

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## FAQs on LCM that 25 and 45

### What is the LCM of 25 and 45?

The LCM of 25 and also 45 is 225. To find the least typical multiple of 25 and also 45, we require to uncover the multiples of 25 and 45 (multiples of 25 = 25, 50, 75, 100 . . . . 225; multiples the 45 = 45, 90, 135, 180 . . . . 225) and choose the smallest multiple that is precisely divisible by 25 and also 45, i.e., 225.

### If the LCM the 45 and 25 is 225, uncover its GCF.

LCM(45, 25) × GCF(45, 25) = 45 × 25Since the LCM that 45 and also 25 = 225⇒ 225 × GCF(45, 25) = 1125Therefore, the GCF = 1125/225 = 5.

### What is the the very least Perfect Square Divisible by 25 and 45?

The least number divisible by 25 and also 45 = LCM(25, 45)LCM the 25 and also 45 = 3 × 3 × 5 × 5 ⇒ the very least perfect square divisible by each 25 and also 45 = 225 Therefore, 225 is the compelled number.

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### What space the methods to discover LCM that 25 and also 45?

The frequently used approaches to uncover the LCM the 25 and also 45 are: