LCM and HCF Relationship Calculation
This problem involves finding one number (y) when the Least Common Multiple (LCM), Highest Common Factor (HCF), and the other number (x) are known.
Given Information
- LCM of x and y = 2079
- HCF of x and y = 27
- Number x = 189
- Number y = ?
Key Formula
The relationship between the LCM, HCF, and two numbers (x and y) is given by the formula:
$ \text{LCM}(x, y) \times \text{HCF}(x, y) = x \times y $Step-by-Step Calculation
- Rearrange the formula to solve for y: $ y = \frac{\text{LCM}(x, y) \times \text{HCF}(x, y)}{x} $
- Substitute the given values into the formula: $ y = \frac{2079 \times 27}{189} $
- Perform the multiplication in the numerator: $ y = \frac{56133}{189} $
- Perform the division to find the value of y: $ y = 297 $
Result
The value of y is 297.
Similar Questions
- If the LCM of $20x^3y^2$ and $10x^4y^4$ is $20x^4y^4$, find the HCF.
- There are four table clocks. They ring every 10 min, 15 min, 20 min and 25 min respectively. If they all ring together at 10 a.m., then at what time will they ring together again?
- Find the HCF of $12 \times 15, 15 \times 21, 21 \times 12$
- How many numbers less than 10000 are there which are exactly divisible by 21, 35 and 63?
- A, B and C begin together to move around a circular stadium and they complete their revolutions in 42 s, 63 s and 84 s respectively. After how much time will they come together at the starting point?
- The LCM of two numbers is 721, and the numbers are in the ratio of 1 : 7. What is the sum of the numbers?
What is the LCM of $\sqrt[2]{169}$, $\sqrt[3]{27}$, $\sqrt[3]{64}$ and $\sqrt[2]{144}$ ?
- The HCF of $28\ p^5q^2$ and $70\ p^3q^4$ is:
- If the HCF of 85 and 153 is expressible in the form of $85x - 153$, then the value of x is:
- What is the greatest number which divides 13, 26 and 39 and gives the remainders as 1, 2 and 3 respectively?
Important Questions from LCM and HCF
The HCF and LCM of two numbers are 12 and 72, respectively. If the ratio of the two numbers is 2 ∶ 3, then the larger of the two numbers is:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Joseph visits the club on every 5 th day, Harsh visits on every 24 th day, while Sumit visits on every 9 th day. If all three of them met at the club on a Sunday, then on which day will all three of them meet again?
What is the least number which when divided by 12,20 and 24 leaves in each case a remainder of 8?
Which of the following is a pair of co-primes?
