Math, asked by kmaheshwari0210, 6 hours ago

lcm of 11,161 and 125



plz send fast with explanation ​

Answers

Answered by sko494290
0

Answer:

221375

Step-by-step explanation:

11 = 1×11

161 = 1×7×23

125= 1×5×5×5

Lcm = 221375

Answered by shifabvora
0

Question -- 11,161,125

Answer:

221,375

Step by Step explanation:

Using Prime Factorisation:

List all prime factors for each number.

Prime Factorization of 11 shows:

11 is prime  =>  111

Prime Factorization of 125 is:

5 x 5 x 5  =>  53

Prime Factorization of 161 is:

7 x 23  =>  71 x 231

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

5, 5, 5, 7, 11, 23

Multiply these factors together to find the LCM.

LCM = 5 x 5 x 5 x 7 x 11 x 23 = 221375

In exponential form:

LCM = 53 x 71 x 111 x 231 = 221375

LCM = 221375

Therefore,

LCM(11, 125, 161) = 221,375

Division table method:

Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.

Bring down any numbers that are not evenly divisible by the prime number.

When the last row of results is all 1's you are done.

Find the product of the prime numbers in the first column to get the LCM:

LCM = 5 x 5 x 5 x 7 x 11 x 23

LCM = 221,375

Therefore,

LCM(11, 125, 161) = 221,375

The Division Table is attached!

Hope that helps!

Attachments:
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