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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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If x=5 and y=2<br> ...........................
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{ \bold{ - 5}}

{ \red{ \tt{given \: {\to}}}} \: { \bold{x = 5}} \:  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  { \bold{y = 2}}

{ \green{ \tt{ \sqrt{10y + x} - xy}}}

{ \green{ \tt{ \sqrt{10(2) + 5 }  - 5(2)}}}

{ \green{ \tt{ \sqrt{20 + 5}  - 10}}}

{ \green{ \tt{ \sqrt{25}  - 10}}}

{ \green{ \tt{5} - 10}}

=  { \bold{ - 5}}

8 0
11 months ago
Read 2 more answers
1 is 25% of what numder
allsm [11]

Answer:

4, it's obvious think of it as a quarter.

Step-by-step explanation:

1 = 25%

2 = 50%

3 = 75%

4 = 100%

5 0
2 years ago
PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES
Elena-2011 [213]

The expressions that are equal to 61 are

  • |−61|
  • The distance from zero to −61
  • −(−61)
  • The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

<u>Option 1: |−61| </u>

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

<u>Option 2: The distance from zero to −61 </u>

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

<u>Option 3: The opposite of 61 </u>

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

<u>Option 4:−(−61) </u>

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

<u>Option 5: the opposite of −61</u>

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

<u>Option 6: −|−61| </u>

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

<u>Option 6: −|61| </u>

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61

Read more about expressions at:

brainly.com/question/723406

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7 0
2 years ago
WILL GIVE BRAINLEAST
likoan [24]
X + 7, ie the number set on Monday + seven more
4 0
3 years ago
How many cubic centimeters is 5 cubic meters.
tresset_1 [31]
The key to solving this question is first knowing how many cubic cm are in one cubic m:

The ratio is always 1000000 cubic cm in 1 cubic meter.

Knowing this, we calculate how many cubic cm are in 5 cubic meters!

<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
      x </span>cubic cm           5 cubic m

x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
x = 5<span>000000 cubic cm

Hope this helps!
Feel free to message me if you have any questions :)</span>
4 0
3 years ago
Read 2 more answers
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