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L.C.M and H.C.F Questions with Answers: HCF and LCM aptitude questions is the most repeatedly asked problem which was comes under the huge topic of Quantitative Aptitude. This topic gives the idea of the Least Common Multiple (LCM) and Highest Common Multiple (HCF) of a group of numbers. You must study some important hcf and lcm questions and answers for your competitive exams such as CAT, SSC, UPSC, IBPS Bank Exams.

Some concepts, formula & methods are needed for solving the lcm and hcf aptitude questions and candidates should use tricks, tips & shortcuts to tackle those problems. Candidates should practice the lcm and hcf aptitude questions every day by taking online Quantitative test & tutorial. Calculations plays major role in solving those quantitative aptitude lcm and hcf problems. First you must understand the theory and they you can start solving the word problems in in real life by the use of worksheet and examples.

### Quantitative Aptitude L.C.M and H.C.F Problems with Solutions:

Q1: What is the greatest number that will divide 99, 123 and 183 leaving the same remainder in each case? Also, find the common remainder?

(a) 2
(b) 1
(c) 5
(d) 3

Q2: Fins the least number which whan divided by 24, 32 and 36 leaves remainders 19, 27 and 31.

(a) 283
(b) 300
(c) 194
(d) 277

Q3: The L.C.M of two numbers is 279 and their H.C.F is 27. If the 1st number is 189, find the second number.

(a) 325
(b) 155
(c) 297
(d) 368

Q4: Three numbers are in the ratio 3 : 4 : 5 and their LCM is 2400. Their HCF is?

(a) 40
(b) 32
(c) 51
(d) 25

Q5: There are 5 numbers. HCF of each possible pair is 4 LCM of all the 5 numbers is 27720. What will be the product of all the 5 numbers.

(a) 22700
(b) 7096320
(c) 277300
(d) none

Q6: The least positive integer which is a perfect square and also divisible by each of 21, 36 and 44 is?

(a) 254120
(b) 152369
(c) 186645
(d) 213444

Q7: The L.C.M of three numbers is 120. Which of the following cannot be their H.C.F?

(a) 30
(b) 22
(c) 35
(d) 28

Q8: The HCF and LCM of two numbers are 12 and 924. Then the number of such pairs is?

(a) 2
(b) 1
(c) 8
(d) 4

Q9: The traffic lights at three different road crossings change after every 48 s, 72 s and 108 s. If they all change simultaneously at 08 : 20 hours. Then at what will they again change simultaneously?

(a) 8 : 27 : 27 hours
(b) 8 : 27 : 12 hours
(c) 8 : 27 : 36 hours
(d) 8 : 24 : 48 hours

Q10: The H.C.F of two numbers is eight. Which one of the following can never be their L.C.M?

(a) 80
(b) 70
(c) 85
(d) 60

Q1: (d)
Q2: (a)
Q3: (c)
Q4: (a)
Q5: (b)
Q6: (d)
Q7: (c)
Q8: (a)
Q9: (b)
Q10:(d)