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UPTET Paper 2 Math and Science Model Test 3

Section: Mathematics and Science

Question : 134 of 150

Marks: +1, -0

The LCM of 144, 360 and 450 is:

Solution:

Concept:

LCM is the smallest number divisible by all given numbers. Find it by taking the highest power of each prime factor from all numbers.

Explanation:

Prime factors of 144 =

2^4 \times 3^2

Prime factors of 360 =

2^3 \times 3^2 \times 5^1

Prime factors of 450 =

2^1 \times 3^2 \times 5^2

Take highest powers:

2^4

3^2

5^2

Multiply:

16 \times 9 \times 25 = 3600

Thus LCM is 3600.

Answer:

Option B. 3600.

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