LCM and HCF Practice Quiz - Easy Level

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1.  

Find the L.C.M. of 1683 and 1584.


2.  

Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of the two number is:


3.  

The ratio of the sum to the LCM of two natural numbers is 7 :12. If their HCF is 4, then the smaller number is :


4.  

Two numbers are in the ratio 3 : 4. The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is:


5.  

Three numbers are in the ratio 1 : 2 : 3 and their HCF is 12. The numbers are:


6.  

The LCM of two numbers is 1920 and their HCF is 16. If one of the number is 128, find the other number


7.  

What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively?


8.  

Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?


9.  

What is the lowest common multiple of 12, 36 and 20?


10.  

The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?


11.  

Find the greatest common divisor of 24 and 16:


12.  

The ratio of two numbers is 4 : 5. If the HCF of these numbers is 6, what is their LCM?


13.  

If the product of three consecutive numbers is 210 then sum of the smaller number is :


14.  

What is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?


15.  

Two numbers are in the ratio 3:4. If their LCM is 180, find the numbers.


16.  

Product of two co-prime numbers is 117. Then their L.C.M. is


17.  

The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is:


18.  

The product of two numbers is 2028 and their HCF is 13. The number of such pairs is:


19.  

If the product of three consecutive numbers is 210 then sum of the smaller number is :


20.  

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder.


21.  

The greatest number that will divide 729 and 901 leaving remainders 9 and 5 respectively, is:


22.  

The HCF of two numbers is 16 and their LCM is 160. If one of the number is 32, then the other number is


23.  

The LCM of two numbers is 30 and their HCF is 5. One of the number is 10. The other is:


24.  

The H.C.F and L.C.M of two numbers are 12 and 336 respectively. If one of the number is 84, the other is:


25.  

The LCM of two numbers is 520 and their HCF is 4. If one of the number is 52, then the other number is:


26.  

The H.C.F. of two numbers is 96 and their L.C.M. is 1296. If one of the number is 864, the other is:


27.  

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:


28.  

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:


29.  

Two numbers are in the ratio 3 : 4. If their HCF is 4, then their LCM is:


30.  

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:


31.  

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:


32.  

Find the highest common factor of 36 and 84.


33.  

The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is:


34.  

Find the H.C.F of 513, 1134 and 1215.


35.  

Find the L.C.M  of 72, 108 and 2100.


36.  

Find the H.C.F. of 108, 288 and 360.


37.  

Find the L.C.M. of 72, 108 and 2100.


38.  

Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.


39.  

Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.


40.  

Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case: