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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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4x + y = 10<br> 7x + 2y = 17
Nezavi [6.7K]

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

6 0
2 years ago
Read 2 more answers
i am a number less than 3,000. when you divide me by 32,my remainder is 30. when you divide me by 58,my remainder is 44. what nu
Marat540 [252]
32(24)+30=58(13)+44=798

I am 798
3 0
3 years ago
Whats the decimal equivalent of 16%
masha68 [24]

Answer:

0.16

Step-by-step explanation:

Percent means 'per 100'. So, 16% means 16 per 100 or simply 16/100.

The answer is 0.16

8 0
2 years ago
Read 2 more answers
Omar makes a total of $51.75 selling brownies and muffins at a bake sale if he sells 16 brownies for $2.25 each how many muffins
telo118 [61]

Answer:

He can make 9 Muffins

Step-by-step explanation:

16*2.25=36

51.75 - 36=15.75  Subtract the total number of selling he made by how much he made with the brownies

15.75/1.75=9 Divide the number you got after subtracting by by how many he  is going to sell each of then

8 0
3 years ago
The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a
Contact [7]

Answer:

3.8465 *10^7 square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula SA=4\pi r^2. Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. 3.8465 *10^7

4 0
3 years ago
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