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IIT JEE MAIN 2026

LTL QT-23 - LCM & HCF -1

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1.  Find the H.C.F. of 540 and 84

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2. Find the H.C.F. of 24, 30, 36

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3.Find H.C.F. of 2923 and 3239

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4.Find the H.C.F. 1/2, 3/4, 5/6, 7/8, 9/10

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5.Find the L.C.M.  of  1/3, 5/6, 5/9, 10/27

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6.Two numbers whose sum is 150 have their H.C.F. as 8. The numbers are

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7.Find the greatest number which will divide 1050, 1250 and 1650 leaving the remainders 43, 31 and 7 respectively

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8.The sum of two numbers is 187 and their H.C.F. Is 17. Find how many such pairs can be formed.

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9.The product of two numbers is 11560 and their H.C.F. is 34. How many pairs of such numbers can be formed?

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10.The product of two numbers is 1875 and their H.C.F. is 15, their L.C.M. is

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11.The L.C.M. of two numbers is 2420 and their H.C.F. is 30. If one number is 220, the other is

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12.The largest number which exactly divides 522, 1276 and 1624 is.

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13.The largest number which divides 77, 147, 252 to leave the same remainder in each case is

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14. The largest number which divides 77, 147, 252 to leave the same remainder in each case is

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15. By which smallest number 1323 must be multiplied so that it becomes a perfect cube

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16.which is the greatest?

 

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17.The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, that number is

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18.The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers

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19.Which one of the following indicates the correct value of the HCF of the two rationals 1/3 and  2/9

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20.The HCF and the LCM of a pair of numbers are 12 and 924 respectively. How many such distinct pairs are possible?

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21.If the product two numbers is 324 and their HCF is 3, then their LCM will be

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22.The least multiple of 7 which leaves a remainder 3 when divided by 4 or 12 or 16 is

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23.Find the least square number which is divisible by 10,12,15 and 18

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24.The L.C.M and H.C.F. of two numbers (positive) are 2500 and 50 respectively. If one of the numbers is 250. What is the other number

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25.The HCF of two numbers is 12 and their difference is also 12. The numbers are

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