Advertisements
Advertisements
प्रश्न
Two numbers are in the ratio 2 : 3 and their LCM is 180. What is the HCF of these numbers?
Advertisements
उत्तर
Let the first number be 2x and the second be 3x
∴ Their LCM = 2 × 3 × x
But given LCM = 180
∴ 2 × 3 × x = 180
`\implies` x = 30
First number = 2x = 2 × 30 = 60 = 2 × 2 × 3 × 5
Second number = 3x = 3 × 30 = 90 = 3 × 3 × 2 × 5
Now, HCF of 60 and 90 = 2 × 3 × 5 = 30
संबंधित प्रश्न
Find the LCM and HCF of the following integers by applying the prime factorisation method.
12, 15 and 21
Given that HCF (306, 657) = 9, find LCM (306, 657).
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?
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
If the prime factorization of a natural number n is 23 ✕ 32 ✕ 52 ✕ 7, write the number of consecutive zeros in n.
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
The sum of the exponents of the prime factors in the prime factorization of 1729 is
There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. 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?
For some integer q, every odd integer is of the form ______.
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 ______.
