Please tell the LCM of the following -

Below.

Step-by-step explanation:

I won't do all of these for you but I'll show you the general method.

First write each number  as prime factors.

For example number 7:

LCM of 24 and 34.

24 = 2 * 2 * 2 * 3

34 = 2 * 17

The LCM  is the multiple of all these factors EXCEPT if there is a duplicate number you only use it once.

There is one duplicate here - the 2 ( in bold) so we only use  this once.

So the LCM = 2 * 2 * 2 * 3 * 17 = 408.

Number 1:

13, 25

13 = 13

25 = 5 * 5

There are no duplicates  so the LCM = 13 * 5 * 5 = 325.

Number  18:

15, 84

15 = 3 * 5

84 = 2 * 2 * 3 * 7

Number 3 is common to both sets so it is only used once:

LCM = 2 * 2 * 3 * 5 * 7 = 420.

Number 40:

18, 48

18 = 2 * 3 * 3

48 = 2 * 2 * 2 * 2 * 3

There are 2 sets of duplicates here, 2 and 3 .

LCM =  2 * 2 * 2* 2 * 3 * 3 = 144.

Step-by-step explanation:

2) 24 = 2 *2*2*3 = 2³ * 3

54 = 2*3*3*3 = 2 * 3³

LCM = 2³ * 3³ = 8*27 = 216

12) 14 = 2 *7

25 = 5*5 = 5²

LCM = 2*7 * 5² = 14*25 = 350

37) 12  = 2*2*3 = 2² * 3

     32 = 2*2*2*2*2 =2^5

LCM = 2^5 * 3 = 32*3 = 96

LCM -> common number with highest power and the rest all numbers

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

linear pair postulates