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The HCF of two numbers is 38 and their LCM is 98154. If one of the number is 1558. The other number is 
  • a)
    1197 
  • b)
    2394 
  • c)
    4932 
  • d)
    2384
Correct answer is option 'B'. Can you explain this answer?
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The HCF of two numbers is 38 and their LCM is 98154. If one of the num...
 
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The HCF of two numbers is 38 and their LCM is 98154. If one of the num...
Given:
- HCF of two numbers is 38
- LCM of two numbers is 98154
- One of the numbers is 1558

To find:
The other number

Approach:
We can use the formula to find the LCM of two numbers using their HCF:
LCM = (Number 1 * Number 2) / HCF

Solution:
Let's assume the other number as x.

Step 1: Find the LCM using the given formula:
98154 = (1558 * x) / 38

Step 2: Simplify the equation:
98154 * 38 = 1558 * x
3729996 = 1558 * x

Step 3: Divide both sides by 1558 to solve for x:
x = 3729996 / 1558
x = 2394

Therefore, the other number is 2394.

Explanation:
The HCF (Highest Common Factor) of two numbers is the largest number that divides both of them without leaving a remainder. In this case, the HCF is given as 38.

The LCM (Least Common Multiple) of two numbers is the smallest number that is divisible by both of them. We are given the LCM as 98154.

We can use the formula to find the LCM using the HCF:
LCM = (Number 1 * Number 2) / HCF

Substituting the given values, we get:
98154 = (1558 * x) / 38

To solve for x, we cross-multiply and simplify the equation:
98154 * 38 = 1558 * x
3729996 = 1558 * x

Dividing both sides by 1558, we find that the other number is 2394.

Therefore, option B (2394) is the correct answer.
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The HCF of two numbers is 38 and their LCM is 98154. If one of the number is 1558. The other number isa)1197b)2394c)4932d)2384Correct answer is option 'B'. Can you explain this answer?
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