Advertisements
Advertisements
प्रश्न
Using prime factorization, find the HCF and LCM of 30, 72, 432 .
उत्तर
30 = 2 × 3 × 5
72 = 2 × 2 × 2 × 3 × 3 = 23 × 32
432 = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 24 × 33
HCF = product of smallest power of each common prime factor in the numbers
= 2 × 3 = 6
LCM = product of greatest power of each prime factor involved in the numbers
= 24 × 33 × 5 = 2160
APPEARS IN
संबंधित प्रश्न
Using Euclid's division algorithm, find the H.C.F. of (iii) 867 and 255
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.
If the HCF of 408 and 1032 is expressible in the form 1032 m − 408 × 5, find m.
105 goats, 140 donkeys and 175 cows have to be taken across a river. There is only one boat which will have to make many trips in order to do so. The lazy boatman has his own conditions for transporting them. He insists that he will take the same number of animals in every trip and they have to be of the same kind. He will naturally like to take the largest possible number each time. Can you tell how many animals went in each trip?
Using prime factorization, find the HCF and LCM of 144, 198 In case verify that HCF × LCM = product of given numbers.
Find the simplest form of `69 /92` .
Express each of the following as a rational number in its simplest form:
(i) `0. bar (24)`
The product of two numbers is 1050 and their HCF is 25. Find their LCM.
If n = 23 ✕ 34 ✕ 54 ✕ 7, then the number of consecutive zeros in n, where n is a natural number, is
Prove that two consecutive positive integers are always co-prime
