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Sedaia [141]
3 years ago
13

Why is the lcm of two numbers never less than the larger number?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0
This involves a bit of logic in thinking about what LCM actually means.

LCM is the least common multiple. A common multiple is a multiple shared by two or more numbers. And by multiple, we mean some number multiplied by successive integers; this set contains multiples of 5 {5, 10, 15, 20, 25...}. You can see that the least (or lowest) common multiple is the lowest multiple shared by two numbers. Like for 6 and 9, you have {6, 12, 18, 24...} and {9, 18...}, so LCM(6,9) = 18. 

Now, if an LCM must be shared by both numbers, and to get a multiple of the largest number, you have to multiply by an integer greater than or equal to 1, then the LCM of two numbers can never be less than the larger of the twi numbers. Generally, if x and y are positive real numbers, and x is greater than y, LCM(x,y)  \leq x. 
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3 years ago
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Pending Review Question 7
vitfil [10]

Answer:

$ 2,200 for 8%, $ 1,300 for 12%

Step-by-step explanation:

I=PRT

Let Bank 1 be <em>x</em>

332= x (8%) + (3,500-x) 12%

332= x (0.08) + (3,500-x) 0.12   change the percent to decimal

332= 0.08x + 420 - 0.12x

0.04x= 420-332

x= \frac{88}{0.04}

x= 2,200 (Bank 1)

Bank 2= 3,500-Bank 1

Bank 2= 3,500- 2,200

Bank 2= 1,300

4 0
2 years ago
How wide is a 3 ft doorway in a 1/4 inch scale drawing?
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Answer:

9 inches

Step-by-step explanation:

Convert from feet to inches by multiplying by 12:

3*12 = 36

Multiply by the scale factor of 1/4:

36*1/4 = 9

9 inches

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2 years ago
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