Find the smallest number which leaves a remainder 7 when divided by 20,50,75
Answers
Answer:
Find the LCM of 20, 42 and 76.
20 = 2x2x5
42 = 2x3x7
76 = 2x2x19
The LCM is 2x2x3x5x7x19 = 7980.
Next add 7 to 7980 to get 7987 as the answer.
Check: 7987 divided by 20 = 399 as quotient and a remainder of 7. Correct.
7987 divided by 42 = 190 quotient and a remainder of 7. Correct.
7987 divided by 76 = 105 quotient and a remainder of 7. Correct.
7987 is the answer.
Step-by-step explanation:
Answer:
Find the LCM of 20, 42 and 76.
20 = 2x2x5
42 = 2x3x7
76 = 2x2x19
The LCM is 2x2x3x5x7x19 = 7980.
Next add 7 to 7980 to get 7987 as the answer.
Check: 7987 divided by 20 = 399 as quotient and a remainder of 7. Correct.
7987 divided by 42 = 190 quotient and a remainder of 7. Correct.
7987 divided by 76 = 105 quotient and a remainder of 7. Correct.
7987 is the answer.
Step-by-step explanation: