Question

prove 864 and 1001 are coprimes and find lcm without using any formula !

Answer 1

 there HCF is 1 (by finding ) so these are co-primes.
then LCM will be equal to the multiplication of these numbers.
=864864

Answer 2

Answer:

Yes 864 and 1001 are co-primes

LCM of 864 and 1001 is 864864

Step-by-step explanation:

Given : Two numbers 864 and 1001

To find : Numbers are co-prime and also find their LCM.

Solution :

Co-primes - If two numbers are co-prime,then there is no common factor between them except 1 .

Factor of 864 -  2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Factor of 1001 - 7, 11, 13, 77, 91, 143, 1001

This clearly shows there is no common factors between 864 and 1007.

If the numbers are co-prime then the lowest common multiple of them is the  product of them.

LCM - $864\times1001$

$864\times1001=864864$