Question

The lcm and hcf of two positive numbers are 2000 and 50

Answer 1

two positive number are 2000 and 50
which lcm is 2000
and hcf is 50

Answer 2

Answer:

HCF(2000,50)=50

LCM(2000,50)=2000

Step-by-step explanation:

Given : Numbers 2000 and 50

To find : The LCM and HCF of two positive numbers are 2000 and 50

Solution :

First we factorize the numbers 2000 and 50

$2000=2\times2\times2\times2\times5\times5\times5$

$50=2\times5\times5$

HCF is the highest common factor

$HCF(2000,50)=2\times5\times5=50$

HCF(2000,50)=50

Product of two numbers = $2000\times50=100000$

We know, that

Product of two numbers = HCF × LCM

$100000=50\times LCM$

$LCM=\frac{100000}{50}=2000$

LCM(2000,50)=2000