Advertisements
Advertisements
Question
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
Advertisements
Solution
17, 23 and 29
Let us first find the factors of 17, 23 and 29
17 = 1 × 17
23 = 1 × 23
29 = 1 × 29
L.C.M of 17, 23 and 29 = 1 × 17 × 23 × 29
L.C.M of 17, 23 and 29 = 11339
H.C.F of 17, 23 and 29 = 1
RELATED QUESTIONS
Determine the prime factorisation of each of the following positive integer:
45470971
Find the LCM and HCF of the following integers by applying the prime factorisation method:
24, 15 and 36
The HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{13}{125}\]
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{129}{2^2 \times 5^7}\]
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
336 and 54
If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4
The sum of the exponents of the prime factors in the prime factorization of 1729 is
Express 98 as a product of its primes.
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 = x4y2z; x, y being prime numbers then HCF (A, B) is ______.
According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b > 0, then ______.
The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is ______.
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.
Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.
(HCF × LCM) for the numbers 70 and 40 is ______.
(HCF × LCM) for the numbers 30 and 70 is ______.
The prime factorisation of the number 5488 is ______.
If two positive integers a and b are written as a = x3y2 and b = xy3, where x, y are prime numbers, then the result obtained by dividing the product of the positive integers by the LCM (a, b) is ______.
