Step: 1

Write the multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27

and multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45

and multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45

Step: 2

Since the least common multiple of 3 and 5 is 15, the LCM of 3 and 5 is 15

[Select the least common multiple.]

Correct Answer is : 15

Step: 1

The LCM of 2 and 3 would be the day on which they play together.

Step: 2

List the multiples of 2 and 3 and circle the lowest number in common.

Step: 3

Both Chris and Justin play football together on 6^{th} day.

Correct Answer is : 6

Step: 1

18 = 1 x 2 x 3 x 3

45 = 1 x 3 x 3 x 5

45 = 1 x 3 x 3 x 5

[Write the prime factors for 18 and 45.]

Step: 2

Represent all the prime factors of 18 and 45 in a Venn diagram.

Step: 3

2 x 3 x 3 x 5 = 90

[Multiply all the factors in the Venn diagram.]

Step: 4

The LCM of 18 and 45 is 90.

Correct Answer is : 90

Step: 1

All the three channels will be broadcast together at the common multiples of the time intervals.

Step: 2

L.C.M of 40, 60 and 80 = 240.

Step: 3

For every 240 minutes, the three channels broadcast news at the same time.

Correct Answer is : 240 minutes

Step: 1

The smallest common multiple of two or more numbers is called lowest common multiple (LCM).

Step: 2

Write the multiples of 5 and 8.

Step: 3

Choose the smallest multiple from their common multiples, which is 40.

Step: 4

The LCM of 5 and 8 is 40.

Correct Answer is : 40

Step: 1

The smallest common multiple of two or more numbers is called lowest common multiple (LCM).

Step: 2

List the multiples of 12 and 16.

Step: 3

Choose the smallest multiple from their common multiples, which is 48.

Step: 4

Hence, the LCM of 12 and 16 is 48.

Correct Answer is : 48

Step: 1

The smallest common multiple of two or more numbers is called lowest common multiple (LCM).

Step: 2

List the multiples of 10, 20 and 30.

Step: 3

Choose the smallest multiple from their common multiples, which is 60.

Step: 4

Hence, the LCM of 10, 20 and 30 is 60.

Correct Answer is : 60

Step: 1

The smallest common multiple of two or more numbers is called lowest common multiple (LCM).

Step: 2

List the multiples of 2, 3 and 4.

Step: 3

Choose the smallest multiple from their common multiples, which is 12.

Step: 4

Hence the LCM of 2, 3 and 4 is 12.

Correct Answer is : 12

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