# Find the LCM of the following numbers:

(a) 9 and 4

(b) 12 and 5

(c) 6 and 5

(d) 15 and 4

Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

**Solution:**

We will be using the concept of LCM(Least Common Multiple) to solve this.

(a) Let us find the LCM of 9 and 4

Hence, LCM = 2 × 2 × 3 × 3 = 36

Product of the numbers = 9 × 4 = 36

(b) Let us find the LCM of 12 and 5

Hence, LCM = 2 × 2 × 3 × 5 = 60

Product of the numbers = 12 × 5 = 60

(c) Let us find the LCM of 6, 5

Hence, LCM = 2 × 3 × 5 = 30

Product of the numbers = 6 × 5 = 30

(d) Let us find the LCM of 15 and 4

Hence, LCM = 2 × 2 × 3 × 5 = 60

Product of the numbers = 15 × 4 = 60

Therefore, we have observed in each case that the LCM of the given numbers is equal to the product of the two numbers given.

You can also use the LCM Calculator to solve this.

NCERT Solutions for Class 6 Maths Chapter 3 Exercise 3.7 Question 10

## Find the LCM of the following numbers : (a) 9 and 4 (b) 12 and 5 (c) 6 and 5 (d) 15 and 4. Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

**Summary:**

(a) LCM of 9 and 4 is 36 (b) LCM of 12 and 5 is 60 (c) LCM of 6 and 5 is 30 (d) LCM of 15 and 4 is 60. Therefore, we have observed in each case that the LCM of given numbers is equal to the product of the two numbers given.

**☛ Related Questions:**

- Determine The Smallest 3 Digit Number Which Is Exactly Divisible By 6 8 And 12
- Determine The Greatest 3 Digit Number Exactly Divisible By 8 10 And 12
- The Traffic Lights At Three Different Road Crossings Change After Every 48 Seconds 72 Seconds And 108 Seconds Respectively If They Change Simultaneously At 7 Am At What Time
- Three Tankers Contain 403 Litres 434 Litres And 465 Litres Of Diesel Respectively Find The Maximum Capacity Of A Container That Can Measure The Diesel Of The Three Containers

visual curriculum