Find the smallest 4 digit number which is divisible by 12 16 and 20
Answers
The smallest 4 digit number which is divisible by 12, 16 and 20 is 1200
Solution:
Given that,
We have to find the smallest 4 digit number which is divisible by 12 16 and 20
Step 1:
Find LCM of 12 , 16 , 20
List all prime factors for each number.
Prime Factorization of 12 is: 2 x 2 x 3
Prime Factorization of 16 is: 2 x 2 x 2 x 2
Prime Factorization of 20 is: 2 x 2 x 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 2 x 3 x 5 = 240
Four digit smallest number = 1000
240 multiplied by 4 is 960
240 multiplied by 5 is 1200
Thus, the smallest 4 digit number which is divisible by 12 16 and 20 is 1200
Learn more:
Find the smallest four digit number exactly divisible by 18, 24 and 32
https://brainly.in/question/111494
Smallest 4 digit divisible no. Of 18 24 32
https://brainly.in/question/4948235