Question

The LCM of 12 and 27 and the HCF of 24 and 64 have a highest common factor of

Answer 1

Hello! It's been a while since I've did LCM and HCF, but I believe your answer is 2.

First, you find the LCM of 12 and 27. This will be 108.

27,54,81,108

12,24,36,48,60,72,84,96,108

Next, you'll want to find the HCF of 24 and 64. This will be 4.

24: 1 · 24, 2 · 12, 3 · 8, 4 · 6

64: 1 · 64, 2 · 32, 4 · 16, 8 · 8

1 , 2 , 4

Finally, you have to find the HCF of 108 and 4. This will result in your answer, 2.

Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Factors of 4: 1, 2

1, 2

Hope this helps you. Have a great day! (. ❛ ᴗ ❛.)

Answer 2

The LCM of 12 and 27 and the HCF of 24 and 64 have a highest common factor of; 4

LCM is lowest common multiple.

12 = 3 × 4

27 = 3 × 3 × 3

Thus, lowest common multiple = 3 × 3 × 3 × 4

LCM = 108

Now for the HCF of 108, 24 and 64, let us list their factors;

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24

Factors of 64 = 1, 2, 4, 8, 16, 32, 64

Factors of 108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The highest common factor of the 3 numbers is; 4

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