find the number between 800 and 900 which is divisible by 12,16 and 18
Answers
1st find the LCM i.e. 144 and then multiply it by 6 the answer comes
864 is the only number between 800 and 900 which is divisible by 12,16 and 18
Solution:
Given that,
We have to find the number between 800 and 900 which is divisible by 12,16 and 18
FIND THE LCM OF 12 , 16 , 18
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 18 is: 2 x 3 x 3
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, 3
Multiply these factors together to find the LCM
LCM = 2 x 2 x 2 x 2 x 3 x 3 = 144
We know that,
144 x 5 = 720
144 x 6 = 864
144 x 7 = 1008
Thus 864 is the only number between 800 and 900 which is divisible by 12,16 and 18
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