Question

(the smallest common multiple of 30, 45, and 60 between 200 and 400)÷(the largest common fecter of 15, 24 and 45) is eqal to

Answer 1

Hey!!

HCF of 15 , 24 , 45

15 = 5 × 3

24 = 2 × 2 × 2 × 3

45 = 3 × 5 × 3

The common is 3 , so, the HCF is 3

LCM of 30 , 45 , 60

30 = 60 , 90 , 120 , 150 , 180 , 210 , 240 , 270 , 300 , 330 , 360

45 = 90 , 135 , 180 , 225 , 270 , 315 , 360

60 = 120 , 180 , 240 , 300 , 360

LCM of the numbers between 200 and 400 is 360

Hope my answer helps!

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Answer 2

The smallest common multiple of 30,45,60

LCM of 30,45,60 = 360

So,

360 is between 200 and 400

Now, The largest common factor of 15,24,45

HCF of 15,24,45 = 3

Here,

⏩ (the smallest common multiples of 30,45,60)÷(The largest common factor of 15,24,45)

⏩ 360÷3 = 120

Hence,

option (2) 120
is the correct answer.