Find the smallest number that when divided by 20,45 and 85 leaves a remainder 7in each case
Answers
Answered by
10
Answer:
3067
Step-by-step explanation:
Find the LCM of 20, 45 and 85
20 = 2x2x5
45 = 3x3x5
85 = 5x17
The LCM is 2x2x3x3x5x17 = 3060
Next add 7 to 3060 to get 3067 as the answer.
Check: 3067 divided by 20 = 153 as quotient and a remainder of 7. Correct.
3067 divided by 45 = 68 as quotient and a remainder of 7. Correct.
3067 divided by 85 = 36 as quotient and a remainder of 7. Correct.
3067 is the answer.
Similar questions