Advertisements
Advertisements
प्रश्न
Using prime factorization, find the HCF and LCM of 12,15, 21 .
उत्तर
12 = 2 × 2 × 3 = 22 × 3
15 = 3 × 5
21 = 3 × 7
HCF = product of smallest power of each common prime factor in the numbers = 3
LCM = product of greatest power of each prime factor involved in the numbers
= 22 × 3 × 5 × 7 = 420
APPEARS IN
संबंधित प्रश्न
Show that every positive integer is of the form 2q and that every positive odd integer is of the from 2q + 1, where q is some integer.
Show that any positive integer which is of the form 6q + 1 or 6q + 3 or 6q + 5 is odd, where q is some integer.
Using prime factorization, find the HCF and LCM of 23, 31 In case verify that HCF × LCM = product of given numbers.
Three sets of English, Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. How many stacks will be there?
Show that \[2 - \sqrt{3}\] is an irrational number.
The sum of two prime number is always a prime number (True/ False).
If 3 is the least prime factor of number a and 7 is the least prime factor of number b, then the least prime factor of a + b, is
Prove that square of any integer leaves the remainder either 0 or 1 when divided by 4
Prove that two consecutive positive integers are always co-prime
For any positive integer n, prove that n3 – n is divisible by 6.
