Question

The product of two whole numbers is 1500 and their HCF is 10. Find the LCMImmersive Reader
(1 Point)
A) 1500
B) 150
C) 15000
D) 15

Answer 1

Answer:

LCM×HCF= product of two numbers

LCM×10=1500

LCM=1500/10

LCM=150

Step-by-step explanation:

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Answer 2

The LCM of two whole numbers whose product is 1500 and their HCF is 10 is equal to (B) 150.

Step-by-step Explanation

Given:

• The product of two whole numbers is 1500.
• The HCF of the two whole numbers is 10.

To be found:

To find the LCM of the two whole numbers.

Solution:

Let 'a' and 'b' be the two whole numbers.

It is given that the product of the two whole numbers is 1500.

$\implies a \times b=1500$

Also, the LCM of the two numbers is 10.

$\implies LCM(a,b)=10$

We know that, the product of LCM and HCF of the two numbers is equal to the product of the two numbers.

$\implies LCM(a,b) \times HCF(a,b)=a\times b$ --------(1)

Now, substituting the given values in (1), we get

$LCM(a,b) \times 10=1500\\\implies LCM(a,b)=\frac{1500}{10} \\\implies LCM(a,b)=150$

Therefore, the LCM of the two whole numbers is (B) 150.

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