Question

The GCD of three numbers is 30.and their LCM is 900.two of the numbers are 150 and 60.what are the other possible numbers?
Please! Step by step!

Answer 1

Step-by-step explanation:

LCM*HCF = Product of two numbers

900*30 = product of two numbers

so, product of two numbers = 27000

some pairs of numbers are:

60 and 450

90 and 30

150 and 180

Answer 2

Answer:

The only possible pair of the numbers will be (150, 60, 3)

Step-by-step explanation:

Property/Formula - LCM × HCF = Product of the number.

• Given,

LCM of three numbers = 900,

HCF/GCD of the number = 30,

Two of the numbers are "150 and 60".

• Let the third number be "X".

Now putting all the values in the formula

( LCM × HCF = Product of the number)we get,

  ⇒  900 × 30 = 150 × 60 × X

  ⇒   X = 3

Hence the only possible pair will be (150, 60, 3).

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