multiple the -19/50 × 75/38 × -12/25
Answers
LCM of 75 and 38
The lcm of 75 and 38 is the smallest positive integer that divides the numbers 75 and 38 without a remainder. Spelled out, it is the least common multiple of 75 and 38. Here you can find the lcm of 75 and 38, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 75 and 38, but also that of three or more integers including seventy-five and thirty-eight for example. Keep reading to learn everything about the lcm (75,38) and the terms related to it.
What is the LCM of 75 and 38
If you just want to know what is the least common multiple of 75 and 38, it is 2850. Usually, this is written as
lcm(75,38) = 2850
The lcm of 75 and 38 can be obtained like this:
The multiples of 75 are … , 2775, 2850, 2925, ….
The multiples of 38 are …, 2812, 2850, 2888, …
The common multiples of 75 and 38 are n x 2850, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n
=0∈Z.
In the intersection multiples of 75 ∩ multiples of 38 the least positive element is 2850.
Therefore, the least common multiple of 75 and 38 is 2850.
Taking the above into account you also know how to find all the common multiples of 75 and 38, not just the smallest. In the next section we show you how to calculate the lcm of seventy-five and thirty-eight by means of two more methods.
How to find the LCM of 75 and 38
The least common multiple of 75 and 38 can be computed by using the greatest common factor aka gcf of 75 and 38. This is the easiest approach:
lcm (75,38) = \frac{75 \times 38}{gcf(75,38)} = \frac{2850}{1}
gcf(75,38)
75×38
=
1
2850
= 2850
Alternatively, the lcm of 75 and 38 can be found using the prime factorization of 75 and 38:
The prime factorization of 75 is: 3 x 5 x 5
The prime factorization of 38 is: 2 x 19
Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(75,75) = 2850
In any case, the easiest way to compute the lcm of two numbers like 75 and 38 is by using our calculator below. Note that it can also compute the lcm of more than two numbers, separated by a comma. For example, enter 75,38. Push the button only to start over
Answer:
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