The LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is
Question
The LCM of two numbers is 360 and their HCF is 15. One of the numbers is 45. The other is
Solution
The other number can be found using the relationship between the least common multiple (LCM), the highest common factor (HCF), and the two numbers. This relationship is expressed as:
Number1 * Number2 = LCM * HCF
We know that one of the numbers is 45, the LCM is 360, and the HCF is 15. We can substitute these values into the equation to find the other number:
45 * Number2 = 360 * 15
To solve for Number2, we divide both sides of the equation by 45:
Number2 = (360 * 15) / 45
Number2 = 120
So, the other number is 120.
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