HCF stands for highest common factor and LCM stands for least common multiple.  HCF: The highest common factor is the largest factor shared by two or more numbers.  For example, the HCF of 8 and 12 is 4. LCM: The least common multiple is the smallest number that can be divided by two or more numbers.  For example, the LCM of 10, 15, and 20 is 60.  You can calculate the HCF and LCM of two or more numbers by: - Listing factors or multiples - Using prime factors - Finding the prime factors of the numbers, finding the product of the prime factors that are common to each number, and then... Show more

HCF stands for highest common factor and LCM stands for least common multiple. 

HCF: The highest common factor is the largest factor shared by two or more numbers. 
For example, the HCF of 8 and 12 is 4.

LCM: The least common multiple is the smallest number that can be divided by two or more numbers. 
For example, the LCM of 10, 15, and 20 is 60. 

You can calculate the HCF and LCM of two or more numbers by:
- Listing factors or multiples
- Using prime factors

- Finding the prime factors of the numbers, finding the product of the prime factors that are common to each number, and then finding the HCF by finding the largest integer that can be divided by the numbers 

The HCF of two numbers is always a factor of their LCM.

Show less

Arithmetic Practice Test: LCM (Least Common Multiple) And HCF (Highest Common Factor)

Time left 00:00

25 Questions

1. LCM of 2.5, 0.075, 0.0015 =

0.0750.750.157.5

2. LCM of 12, 34 and 48 is

1632408816576

3. What is the LCM of 24, 39 and 54?

936210628081872

4. The factors of x4 + 4 are

(x2 + 2x + 2) (x2 - 2x + 2)(x2 + 2)2(x2 + 2) (x2 - 2)none of the above.

5. 40962 + 2563 is ÷ by

212all of these2783

6. Find the HCF of 108, 63 and 981.

11379

7. A number when divided by 6, 7, 15, 20, 21 leaves remainder ‘1’ in each case but is completely divisible by 29. The number is given by _____

44165612401841

8. Two numbers have HCF as 15. Their sum is 75. The numbers are:

250, 2540, 3560, 1530, 40

9. What is the number which when increased by 7 is divisible by 27, 21, 35 and 77?

20783103971040210388

10. A number when multiplied by 5 becomes divisible by 12, 18, 24, 32 and 40 is

480460720288

11. HCF of 105, 90, 195, 215 =

5251510

12. What is the LCM of and ?

3342

13. LCM of 3/5 , 6/25, 9/5 , 12/15

36/2512/2536/512/5

14. LCM of 10, 15, 25, 30 and 35 is how many times their HCF

2110502105

15. The HCF of the expressions (x3 + x2 + × + 1) and (x4 - 1) is given by

(x2 - 1) (x2 + 1)(x + 1) (x2 + 1)(x2 + 1) (x + 1) (x3 + 1).(x + 1) (x2 - 1)

16. What is the LCM of 14, 36, 45 and 64?

21820201602268040320

17. The HCF of 2x2 - 4x, 3x4 - 12x2 and 2x5 - 2x4 - 4x3 is

2x(2 - x)2x(x - 2)x(x - 2).2(x) (x + 2)

18. Kalpana puts 1P, 2P, 3P in her cash box during February 2014. She saved a total sum of Rs. _____ during the month.

6.1244.068.12

19. The greatest no which shall leave equal remainders on dividing 60, 132, 180:

24123036

20. (1926 + 1817 - 717 - 826) is ÷ by

33441122

21. 3433 - 2163 must be ÷ by

36 only127 only13, 127 both36 or 127

22. HCF of 6/5, 3/25 , 9/15 , 12/5

12/2512/53/551/25

23. HCF of 8x2y3z6, 16y4z8k8, 20x6z8y5 is

4x0y3z24x2yz44z2.4y3z6

24. LCM of 121, 1331, 1221

133126621221none

25. What is the HCF 36, 64 and 100?

1842