Practice HCF and LCM Questions and Answers

• The HCF of two numbers is 9. Which of the following can never be their LCM?
• Find the HCF of 798 and 525.
• Find the HCF of 834 and 582.
• Find the HCF of 932 and 748.
• Find the LCM of 36, 45, 60, 80.
• Find the LCM of 20, 30, 40, 50.
• The HCF of two numbers is 21. Which of the following can never be their LCM?
• The ratio of two numbers is 9:12 and their LCM is 324. The numbers are:
• The ratio of two numbers is 5:10 and their LCM is 100. The numbers are:
• The ratio of two numbers is 6:14 and their LCM is 126. The numbers are:
• The ratio of two numbers is 4:8 and their LCM is 96. The numbers are:
• The ratio of two numbers is 12:14 and their LCM is 168. The numbers are:
• The ratio of two numbers is 10:12 and their LCM is 240. The numbers are:
• Let N be the greatest number that will divide 82, 105, 128 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 86, 120, 154 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 78, 109, 140 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 72, 105, 138 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 90, 112, 134 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 85, 112, 139 leaving the same remainder in each case. Then sum of the digits in N is:
• Let N be the greatest number that will divide 85, 116, 147 leaving the same remainder in each case. Then sum of the digits in N is:
• The smallest number which when divided by 25 and 30 leaves remainder 10 and 15 respectively is:
• The smallest number which when divided by 24 and 32 leaves remainder 10 and 18 respectively is:
• The smallest number which when divided by 27 and 36 leaves remainder 12 and 21 respectively is:
• The smallest number which when divided by 28 and 32 leaves remainder 12 and 16 respectively is:
• The smallest number which when divided by 29 and 33 leaves remainder 11 and 15 respectively is:
• The smallest number which when divided by 22 and 34 leaves remainder 10 and 22 respectively is:
• The smallest number which when divided by 23 and 28 leaves remainder 11 and 16 respectively is:
• The LCM of two numbers is 33 times of their HCF. The sum of the LCM and HCF is 850. If one number is 25, then the other number is:
• What is the least number which is a perfect square and divisible by 3, 10, 12, and 15?
• The least number which when divided by 5, 10, 12 and 15 leave zero remainder in each case and when divided by 18 leaves a remainder of 6 is:
• The least number which when divided by 4, 8, 10 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 9 is:
• The least number which when divided by 6, 8, 9 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is:
• The least number which when divided by 10, 12, 15 and 20 leave zero remainder in each case and when divided by 24 leaves a remainder of 12 is:
• The greatest number of four digits which when divided by 5, 7, 9 leave remainders 3, 5, 7 respectively is:
• The greatest number of four digits which when divided by 10, 12, 14 leave remainders 8, 10, 12 respectively is:
• The greatest number of four digits which when divided by 10, 12, 14 leave remainders 5, 7, 9 respectively is:
• The greatest number of four digits which when divided by 5, 8, 11 leave remainders 2, 4, 6 respectively is:
• The greatest number, which when subtracted from 6254, gives a number exactly divisible by each of 20, 25, 30 and 35, is:
• The greatest number, which when subtracted from 7452, gives a number exactly divisible by each of 20, 27, 30 and 32, is:
• The LCM and the HCF of the numbers 25 and 50 are in the ratio: