Question

.find the smallest number which when divided by 8,9,10,15,20,gives a reminder of five every time

Answer 1

LCM of 8 = 2^3

LCM of 9 = 3^2

LCM of 10 = 2 * 5

LCM of 15 = 3 * 5

LCM of 20 = 2^2 * 5

LCM of 8,9,10,15,20 = 2^3 * 3^2 * 5

= 360

smallest number = 360 + 5 = 365

Step-by-step explanation: