Question

The product of two numbers is 800 and their HCF is 5. The LCM of the numbers is​

Answer 1

Answer:

product of two number=hcf×lcm

so LCM= Products of number/hcf

LCM=800/5=160

Answer 2

Given:-

• Product of two numbers = 800
• HCF = 5

To find:'

LCM

Solution:-

We know,

$\sf{HCF \times LCM = Product\:of\:two\:numbers}$

= $\sf{5 \times LCM = 800}$

= $\sf{LCM = \dfrac{800}{5}}$

= $\sf{LCM = 160}$

$\sf{\therefore The\:LCM\:of\:the\:numbers\:is\:160}$

Extra Information:-

There are two possible ways in which the question with same formula can be asked.

Example:-

Question:-

The HCF of two numbers is 4 and LCM is 9696. If one of the number is 96, find the other number.

Solution:-

HCF = 4

LCM = 9696

One number = 96

We know,

$\sf{HCF \times LCM = 1st\:number\times 2nd\:number}$

= $\sf{4 \times 9696 = 96\times 2nd \:number}$

=> $\sf{2nd \:number = \dfrac{4\times 9696}{96}}$

=> $\sf{2nd\:number = 404}$

$\sf{\therefore The\:2nd \:number\:is\:404}$

Formulas we learnt:-

• $\sf{HCF\times LCM = Product\:of\:two\:numbers}$

• $\sf{HCF\times LCM = 1st\:number\times 2nd\:number}$