Question

3. Find the
HCF and LCM of 10 and 12​

Answer 1

Answer:

Step-by-step explanation:

Using prime factorization” is just a suggestion for the method to solve the problem. It’s a good suggestion, so you should follow it.

What’s a way to express 10 in terms of a list of prime numbers multiplied together? It’s 2x5.

Similarly, 12 is 2x3x3

The LCM of two numbers is the result of multiplying the prime factors of the first number, and the prime factors of the second number *without* those factors in the first number.

So the LCM of 10 and 12 is 2x5(first number)x3x3(second number with the common number from the first number removed), or *60*.

Alternatively, you could just count in 12s and stop at the first number divisible by 10. I.e., 12, 24, 36, 48, 60.

Answer 2

Answer:

LCM(10,12) = ( 10 × 12) / 2

LCM(10,12) = 120 / 2

LCM(10,12) = 60

HCF(12,10) = 2

Factors of 12---- 1, 2 ,3 4, 6

Factors of 10---- 1, 2, 5

So the highest common factor 12 and 10 is 2.