Question

the product of two numbers is 1530 and their hcf is 15.the LCM of these numbers is​

Answer 1

102

Step-by-step explanation:

we know that HCF(a, b) × LCM(a, b) =ab (1)

given that ab=1530,HCF(a, b) =15,

putting the values in (1),

15 × LCM(a, b) =1530

LCM(a, b) =1530/15

LCM(a, b) =102

So the LCM of these two numbers is 102.

Hope it helps!

Answer 2

Answer:

LCM of the two numbers = 102

Step-by-step explanation:

Given,

The product of two numbers 1530

HCF of the two numbers = 15

To find,

The LCM of the numbers

Recall the formula

LCM × HCF = Product of the numbers

Solution:

Let LCM be 'x'

LCM × HCF = 15x

Product of the numbers = 1530

Since LCM × HCF = Product of the numbers, we have

15x = 1530

x = $\frac{1530}{15}$ = 102

∴LCM of the two numbers = 102

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