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Artemon [7]
3 years ago
14

Find the LCM and GCF for 30 and 48.

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

LCM is 240

GCF is 6

<em>long explanation</em>

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

LCM(a,b) = ( a × b) / GCF(a,b)

We will now calculate the prime factors of 30 and 48, than find the greatest common factor (greatest common divisor (gcd) of the numbers by matching the biggest common factor of 30 and 48.

Step-1: Prime Factorization of 30

30 = 2^1 × 3^1 × 5^1

Step-2: Prime Factorization of 48

48 = 2^4 × 3^1

Step-3: Factors of 30

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 48

1, 2, 3, 4, 6, 8, 12, 16, 24

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 30 and 48 is 6.

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Micaela is 17

Step-by-step explanation:

s+2=m

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2s+10=40

40-10=30

2s=30

30/2= 15

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Isaiah brought two dozen donuts to a class party. Half of the donuts had vanilla frosting with sprinkles, 2 had strawberry frost
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Answer:

22/24

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3 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
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Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

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W is the width of the box

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If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

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<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

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