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LCM and HCF Questions for Railway Exams

Railway LCM and HCF Questions bring together the LCM and HCF questions available from Railway papers on PrepShots. Practise across the different exams in this group, compare the question mix and open any question to view its complete solution.

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LCM and HCF Railway Questions

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Q1The least number which when increased by 7 is divisible by each of the numbers 32, 36, 54 and 64 is:
RRB Section Controller2025LCM and HCF
Q2The sum of the digits of the greatest number that will divide 1359, 1871 and 2767 leaving the same remainder 15 in each case is:
RRB Section Controller2025LCM and HCF
Q3The largest four-digit number which when divided by 7, 6 and 10 leaves the remainder 5 in each case, is:
RRB NTPC (UG) CBT-I2026LCM and HCF
Q4The largest four-digit number which when divided by 15, 12 and 14 leaves remainder 5 in each case is:
RRB NTPC (UG) CBT-I2026LCM and HCF
Q5If the LCM of two numbers is 192 and their HCF is 32. If the first number is 64, find the second number.3197
RRB Group D2025LCM and HCF
Q6The sum of two numbers is 50 and their LCM is 429. The two numbers are:2607
RRB Group D2025LCM and HCF
Q7The sum of two numbers is 60 and their HCF and LCM are 12 and 72 respectively. Then find the sum of the reciprocals of the two numbers.
RRB Group D2025LCM and HCF
Q8The sum of two numbers is 88 and their L.C.M. is 870. The two numbers are:
RRB Group D2025LCM and HCF
Q9The sum of two numbers is 54 and their LCM is 195. The two numbers are:
RRB Group D2025LCM and HCF
Q10If the HCF of three numbers is 23 and they are in the ratio 1:2:3, then the numbers are:
RRB Group D2025LCM and HCF
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Q11If the HCF of two numbers is 12 and their product is 2160, what is the LCM of the two numbers?
RRB Group D2026LCM and HCF
Q12The product of two numbers is 324 and their HCF is 3. Then their LCM will be:
RRB Group D2026LCM and HCF
Q13The H.C.F. and the L.C.M. of two numbers are 18 and 540, respectively. If one of the numbers is 90, then find the other number.
RRB Section Controller2025LCM and HCF
Q14The sum of two numbers is 64 and their L.C.M. is 220. The two numbers are:
RRB Section Controller2025LCM and HCF
Q15Two bells are rung at intervals of 1,764 seconds and 2,268 seconds, respectively. They are rung together at the start. After how much time will the two bells ring together again for the first time?
RRB NTPC (UG) CBT-I2026LCM and HCF
Q16Trains from Delhi, Lucknow, and Jaipur depart every 12 minutes, 18 minutes, and 27 minutes, respectively. If all depart together at 6:00 am, when will they depart together again?
RRB NTPC (UG) CBT-I2026LCM and HCF
Q17Two numbers are in the ratio 4 : 5. If their LCM is 240, what is the sum of the two numbers?
RRB NTPC (UG) CBT-I2026LCM and HCF
Q18Three numbers are in the ratio 1:2:3. If their LCM is 198, find their HCF.
RRB Section Controller2025LCM and HCF
Q19Three numbers are in the ratio 4 : 13 : 9, and their LCM is 6084. Their HCF is:
RRB NTPC (UG) CBT-I2026LCM and HCF
Q20Three numbers are in the ratio 3 : 2 : 13, and their LCM is 6318. Their HCF is:
RRB NTPC (UG) CBT-I2026LCM and HCF
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