LCM that 25 and 40 is the the smallest number amongst all typical multiples of 25 and also 40. The first couple of multiples the 25 and 40 space (25, 50, 75, 100, 125, 150, 175, . . . ) and also (40, 80, 120, 160, . . . ) respectively. There space 3 frequently used approaches to discover LCM that 25 and 40 - by element factorization, by listing multiples, and also by department method.

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1.LCM of 25 and 40
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 25 and also 40 is 200.

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Explanation:

The LCM of two non-zero integers, x(25) and y(40), is the smallest optimistic integer m(200) the is divisible through both x(25) and y(40) without any remainder.


The techniques to discover the LCM that 25 and 40 are described below.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM that 25 and 40 by department Method

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To calculation the LCM of 25 and 40 by the department method, we will certainly divide the numbers(25, 40) by your prime factors (preferably common). The product of these divisors gives the LCM of 25 and 40.

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

The LCM of 25 and also 40 is the product of every prime numbers on the left, i.e. LCM(25, 40) by division method = 2 × 2 × 2 × 5 × 5 = 200.

LCM that 25 and also 40 by prime Factorization

Prime administrate of 25 and also 40 is (5 × 5) = 52 and (2 × 2 × 2 × 5) = 23 × 51 respectively. LCM the 25 and 40 have the right to be obtained by multiply prime components raised to your respective greatest power, i.e. 23 × 52 = 200.Hence, the LCM of 25 and also 40 by element factorization is 200.

LCM that 25 and also 40 through Listing Multiples

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To calculate the LCM that 25 and 40 by listing out the typical multiples, we can follow the given below steps:

Step 1: list a few multiples the 25 (25, 50, 75, 100, 125, 150, 175, . . . ) and 40 (40, 80, 120, 160, . . . . )Step 2: The typical multiples native the multiples of 25 and 40 room 200, 400, . . .Step 3: The smallest usual multiple of 25 and also 40 is 200.

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∴ The least common multiple of 25 and also 40 = 200.