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 **x **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 **x **3 a² b³ c⁴

L.C.M = 2³ **x **3 **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** a²

a^(m + 3) = a^m **x **a³

L.C.M = a^m **x **a³

= 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)

lcm worksheet solution1 lcm worksheet solution1

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