Write the correct answer:
remainder.
(a) their sum o
(a) 72 o
7. The H.C.F. and the L.C.M. of two numbers are 12 and 360 respectively. Find th.
1. LCM of two co-prime numbers is:
9. Find the smallest number which when divided by 12, 18 and 36 leaves 5 a
2. The smallest number which is exac
10. Find the smallest number which when increased by 3 is exactly divisible by 24,3
Work Shee
5. Find the smallest number, when divided by 36, 54 and 72 leaves no
6. Find the smallest numbers which is exactly divisible by 16, 24 and 32.
other number if one of them is 36.
8. The product of two numbers is 1050. Find their L.C.M. if the H.C.F. is 5.
(b) their diffe
remainder in each case.
(b) 144
and 60.
11. Find the largest number of 4-digits which is exactly divisible by 15, 25 and 45.
3. The prime factorization of 70 is :
12. Find the smallest number of 4-digits which is exactly divisible by 6, 15 and 18.
(b) 10x7
13. Three bells ring at intervals of 10, 15 and 20 minutes. If they all ring at 9 am
together, at what time will they again ring together?
4. HCF of two prime number is alwa
14. What is the least number of toffees a teacher should have so that when he
(b) one
distributes equal number of them to 15, 20 and 25 students, no toffee is left with
him?
5. The largest number of 4-digits w
15. Find the smallest number which when divided by 12, 15 and 18 leaves 10, 13 and
(b) 9900
16 as remainders respectively.
16. Find the smallest number which when decreased by 7 is exactly divisible by 54, 60
6. The smallest number which wh
and 90.
17. How many sheets of paper should Priyam buy so that she may be able to make
(b) 115
note books consisting 20, 25, 30 or 40 sheets.
18. There are three containers of capacity 5 litres, 6 litres and 8 litres respectively. Find
7. The smallest number which w
the minimum capacity of a drum which is measured exactly by each of the containers
(b) 533
19. Find the smallest number of 5.digite which on hoin
(a) 14x5 O
(a) zero O
(a) 9960
case is :
(a) 120
(a) 540
The greatest numberwhichd
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Explanation:
Solved Examples(Set 1) - HCF and LCM
1. Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?
A. 64 B. 42
C. 28 D. 40
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2. What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
A. 9200 B. 9600
C. 9800 D. 9400
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3. Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
A. 40 B. 20
C. 10 D. 30
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4. What is the lowest common multiple of 12, 36 and 20?
A. 120 B. 160
C. 220 D. 180
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5. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
A. 1683 B. 1108
C. 2007 D. 3363
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