Question

the number of integers from 1 to 3600 relative Prime to 3600 is​

Answer 1

Answer:

960

Step-by-step explanation:

The no. of integers from 1 to 3600 relative prime to 3600 is 960

Answer 2

Answer:

No of Positive integers less or equal to 3600 which are prime to 3600 is 960.

Step-by-step explanation:

positive integers less than or equal to 3600 which are divisible by 5)

n ( A∩B) =3600/6=600 (Total positive integers less than or equal to 3600 which are divisible by 2 and 3. Here we have taken the LCM of 2 and 3 is 6)

n ( B∩ C) =3600/15=240 (Total positive integers less than or equal to 3600 which are divisible by 3 and 5. Here we have taken LCM of 3 and 5 is 15)

n(A∩C) = 3600/10 = 360 (Total positive integers less than or equal to 3600 which are divisible by 2 and 5. Here we have taken LCM of 2 and 5 is 10)

n(A∩B∩C)=3600/30=120 (Total positive integers less than or equal to 3600 which are divisible by 2,3 and 5. Here we have taken LCM of 2,3 and 5 is 30)