What should be added to 1570 to make it divisible by 25, 35, and 45?Select one:a. 4b. 7c. 5d. 9
Question
What should be added to 1570 to make it divisible by 25, 35, and 45?
Select one:
- a. 4
- b. 7
- c. 5
- d. 9
Solution
To solve this problem, we need to find the least common multiple (LCM) of 25, 35, and 45.
Step 1: Prime factorization of the numbers 25 = 55 35 = 57 45 = 533
Step 2: Find the LCM The LCM is the product of the highest power of all prime numbers that appear in any of the numbers. So, LCM = 5^2 * 7 * 3^2 = 25 * 7 * 9 = 1575
Step 3: Find the difference between the LCM and 1570 1575 - 1570 = 5
So, 5 should be added to 1570 to make it divisible by 25, 35, and 45.
Therefore, the answer is c. 5.
Similar Questions
A certain number when divided by 45 leaves a remainder 31. What is the remainder if the same number be divided by 15?
What least number that should be added to 14887 so that it is completely divisible by 29?Select one:a. 17b. 19c. 21d. 5e. 7
What least number must be added to 2010 to obtain a number which is completely divisible by 19?Options :A.5B.4C.3D.None of these
Which of the following expressions represents the fraction 3550?35 ÷ 535 ÷ 5050 ÷ 357 ÷ 5
The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is:________64006480400480
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.