The LCM of 0.36, 2.4 and 1.44 is
2023
The LCM of 0.36, 2.4 and 1.44 is
- A.
7.2
- B.
7.4
- C.
7.6
- 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).