Advertisements
Advertisements
Question
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
Advertisements
Solution
![]() |
![]() |
![]() |
8 = 2 × 2 × 2
9 = 3 × 3
25 = 5 × 5
L.C.M of 8, 9 and 25 = `2^2xx3^2xx5^2`
L.C.M of 8, 9 and 25 = 1800
H.C.F of 8, 9 and 25 = 1
APPEARS IN
RELATED QUESTIONS
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers.
Write the sum of the exponents of prime factors in the prime factorization of 98.
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
For what value of natural number n, 4n can end with the digit 6?
Find the least number that is divisible by the first ten natural numbers
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
The sum of the exponents of the prime factors in the prime factorization of 1729 is
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
For some integer p, every odd integer is of the form ______.
If two positive integers A and B can be expressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
If LCM(x, 18) = 36 and HCF(x, 18) = 2, then x is ______.
For some integer q, every odd integer is of the form ______.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.
Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
(HCF × LCM) for the numbers 30 and 70 is ______.
The mean of first ten natural numbers is ______.
The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is 40x, then the value of x is ______.



