Question

Find the least 5 digit number which is exactly divisible by 20, 25, 30​

Answer 1

• lcm of 20,25,30 is 300
• smallest 5 digit number is 10000
• therefore we will divide 10000 by 300
• we get remainder 100
• now our question is 100 should be increased by how much so that the resulting number is divisible by 300
• since 300-100 =200
• therefore 10000+200 =10200 is the least 5 digit number that exactly divisible by 20, 25, 30