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Q.

The LCM of the numbers 50 and 60 is ____.


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Detailed Solution

Concept: The LCM of the numbers 50 and 60 is 300.
The acronym LCM, or least common multiple, is well known. Multiple of a number x denotes that the multiple is the result of multiplying x by a natural number. The smallest possible number that is a multiple of both a and b, or LCM of a and b, if we take two numbers a and b.
Let's continue to calculate the LCM of 50 and 60. A simple strategy is to make a list of several multiples of the two numbers and then calculate their lowest common denominator. Although it might not always work, this approach is the most straightforward.
Let's start by calculating the multiples of 50 and 60.
Multiples of 50 include 50, 100, 150, 200, 250, 300, 350, 400, 450, etc.
60, 120, 180, 240, 300, 360, 420, 480, 540, and so forth are multiples of 60.
It is clear that the smallest number that both share in common is 300.
We may then deduce from this that 300 is the LCM of 50 and 60.
But it is obvious that if we don't locate the common multiple in the first few multiples, this procedure will take some time.Let's keep figuring out the LCM of 50 and 60. Making a list of numerous multiples of the two numbers and then computing their lowest common denominator is a straightforward technique. This strategy is the most direct, albeit it might not always work.
Calculating the multiples of 50 and 60 will be the first step.
50, 100, 150, 200, 250, 300, 350, 400, 450, etc. are examples of multiples of 50.
Multiples of 60 include 60, 120, 180, 240, 300, 360, 420, 480, 540, and so on.
It is obvious that 300 is the smallest number they have in common.
Consequently, we can conclude that 300 is the LCM of 50 and 60.
However, it is clear that if we can't find the common multiple.
So, 300 is our response.
In light of this, we can say that 300 is the LCM of 50 and 60.
 
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