lcm of 11,161 and 125
plz send fast with explanation
Answers
Answer:
221375
Step-by-step explanation:
11 = 1×11
161 = 1×7×23
125= 1×5×5×5
Lcm = 221375
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!