LCM of 50 and 75 is the the smallest number amongst all usual multiples of 50 and 75. The first couple of multiples that 50 and also 75 space (50, 100, 150, 200, 250, 300, 350, . . . ) and (75, 150, 225, 300, . . . ) respectively. There space 3 commonly used techniques to uncover LCM the 50 and also 75 - through listing multiples, by division method, and by prime factorization.

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1.LCM the 50 and also 75
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 50 and 75 is 150.

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Explanation:

The LCM of two non-zero integers, x(50) and y(75), is the smallest positive integer m(150) that is divisible through both x(50) and y(75) without any kind of remainder.


The approaches to find the LCM the 50 and also 75 are explained below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM that 50 and also 75 by Listing Multiples

To calculate the LCM the 50 and also 75 by listing the end the typical multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples that 50 (50, 100, 150, 200, 250, 300, 350, . . . ) and also 75 (75, 150, 225, 300, . . . . )Step 2: The usual multiples indigenous the multiples of 50 and 75 are 150, 300, . . .Step 3: The smallest usual multiple the 50 and also 75 is 150.

∴ The least usual multiple the 50 and 75 = 150.

LCM that 50 and also 75 by division Method

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To calculation the LCM that 50 and also 75 through the department method, we will certainly divide the numbers(50, 75) by your prime determinants (preferably common). The product of these divisors offers the LCM the 50 and also 75.

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

The LCM of 50 and also 75 is the product of all prime numbers on the left, i.e. LCM(50, 75) by department method = 2 × 3 × 5 × 5 = 150.

LCM of 50 and also 75 by prime Factorization

Prime factorization of 50 and 75 is (2 × 5 × 5) = 21 × 52 and (3 × 5 × 5) = 31 × 52 respectively. LCM the 50 and also 75 can be obtained by multiply prime components raised to their respective highest power, i.e. 21 × 31 × 52 = 150.Hence, the LCM of 50 and 75 by element factorization is 150.

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FAQs top top LCM of 50 and 75

What is the LCM of 50 and 75?

The LCM that 50 and 75 is 150. To uncover the least common multiple that 50 and 75, we need to find the multiples the 50 and 75 (multiples the 50 = 50, 100, 150, 200; multiples that 75 = 75, 150, 225, 300) and also choose the the smallest multiple that is specifically divisible by 50 and 75, i.e., 150.

How to discover the LCM that 50 and 75 by prime Factorization?

To uncover the LCM of 50 and 75 utilizing prime factorization, us will uncover the element factors, (50 = 2 × 5 × 5) and (75 = 3 × 5 × 5). LCM of 50 and 75 is the product that prime factors raised to their respective highest possible exponent amongst the numbers 50 and 75.⇒ LCM of 50, 75 = 21 × 31 × 52 = 150.

What is the Relation in between GCF and also LCM of 50, 75?

The adhering to equation can be used to express the relation in between GCF and also LCM that 50 and 75, i.e. GCF × LCM = 50 × 75.

What space the methods to discover LCM that 50 and also 75?

The commonly used approaches to discover the LCM of 50 and 75 are:

Prime factorization MethodListing MultiplesDivision Method

If the LCM of 75 and also 50 is 150, find its GCF.

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LCM(75, 50) × GCF(75, 50) = 75 × 50Since the LCM the 75 and 50 = 150⇒ 150 × GCF(75, 50) = 3750Therefore, the GCF (greatest usual factor) = 3750/150 = 25.