LCM worksheet solution1





In this page LCM worksheet solution1 we are going to see solution of some question with clear explanation.

Definition:

LCM of two or more non zero whole numbers is the smallest whole number which is a multiple of each given number. In other words it must be the smallest whole number which is divisible by each number.

Question1

Find the LCM of the following

x³ y² , x y z 

Solution:

By comparing these two expression L.C.M is x³ y² z.


Question 2

Find the LCM of the following

3 x² y z , 4 x³ y³

Solution:

By comparing these two expression L.C.M is  = 3 4 x³ y³ z

                                                            = 12 x³ y³ z


Question 3

Find the LCM of the following

a² b c , b² c a , c² a b

Solution:

By comparing these two expression L.C.M is  = a² b² c²


Question 4

Find the LCM of the following

66 a⁴ b² c³ , 44 a³ b⁴ c² , 24 a² b³ c⁴

Solution:

66 a⁴ b² c³ = 2 x 3 x 11 a⁴ b² c³

44 a³ b⁴ c² = 2² x 11  a³ b⁴ c²

24 a² b³ c⁴ = 2³ 3 a² b³ c⁴

  L.C.M = 2³ x 11 a⁴ b⁴ c⁴

           = 264 a⁴ b⁴ c⁴    


Question 5

Find the LCM of the following

a^(m + 1), a^(m + 2) , a^(m + 3)

Solution:

a^(m + 1) = a^m x a

a^(m + 2) = a^m x

a^(m + 3) = a^m

  L.C.M = a^m

           = a ^(m + 3)


Question 6

Find the LCM of the following

x² y + x y² , x² + x y

Solution:

x² y + x y² = x y (x + y) 

x² + x y = x (x + y)

  L.C.M = x y (x + y)


Question 7

Find the LCM of the following

3 (a- 1) , 2 (a - 1)² , (a² - 1)

Solution:

            = 3 (a- 1)

            = 2 (a - 1)²

(a² - 1) = (a + 1) (a - 1)

  L.C.M = 3 x 2 (a - 1)² (a + 1)

           = 6 (a - 1)² (a + 1)

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