How many integers between 1 and 7 000, including both 1 and 7000, are divisible by 2, 5, and 7?
Question
How many integers between 1 and 7 000, including both 1 and 7000, are divisible by 2, 5, and 7?
Solution 1
To find the number of integers between 1 and 7000 that are divisible by 2, 5, and 7, we first need to find the least common multiple (LCM) of 2, 5, and 7.
Step 1: Find the LCM of 2, 5, and 7 The LCM of 2, 5, and 7 is 70.
Step 2: Find how many times 70 fits into 7000 To do this, we divide 7000 by 70. The result is 100.
So, there are 100 integers between 1 and 7000 that are divisible by 2, 5, and 7.
Solution 2
To find the number of integers between 1 and 7000 that are divisible by 2, 5, and 7, we first need to find the least common multiple (LCM) of 2, 5, and 7.
Step 1: Find the LCM of 2, 5, and 7 The LCM of 2, 5, and 7 is 70.
Step 2: Find how many times 70 fits into 7000 To do this, we divide 7000 by 70. The result is 100.
So, there are 100 integers between 1 and 7000 that are divisible by 2, 5, and 7.
Similar Questions
How many three digit numbers are there divisible by 7
NumbersHow many natural numbers divisible by 7 are there between 3 and 200?
How many numbers are there between 300 and 700 that are divisible by 4?
How many integers between 0 and 9999999 (up to 7 digits) contain only the digits 0,1,2,3,7,8 and 9?
What is the numbers between 100 and 400 divisible by 2,3,5 and 7?Select one:a. 210b. 490c. 180d. 145e. 280
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.