What should be added to 1570 to make it divisible by 25, 35, and 45?Select one:a. 4b. 7c. 5d. 9
Question
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.
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