The LCM of 0.36, 2.4 and 1.44 is

2023

The LCM of 0.36, 2.4 and 1.44 is

  1. A.

    7.2

  2. B.

    7.4

  3. C.

    7.6

  4. D.

    7.8

Attempted by 25 students.

Show answer & explanation

Correct answer: A

We need to find the LCM of 0.36, 2.4, and 1.44.

Since the numbers contain decimal places, first convert them into integers by multiplying each number by 100:

0.36 × 100 = 36
2.4 × 100 = 240
1.44 × 100 = 144

Now find the LCM of 36, 240, and 144.

Prime factorization:

36 = 2² × 3²
240 = 2⁴ × 3 × 5
144 = 2⁴ × 3²

Taking the highest powers of all prime factors:

LCM = 2⁴ × 3² × 5
= 16 × 9 × 5
= 720

Since the original numbers were multiplied by 100, divide the LCM by 100:

LCM = 720/100 = 7.2

Hence, the correct answer is Option A (7.2).

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