Knowee
Questions
Features
Study Tools

If the L.C.M. of a and 18 is 36 and the H.C.F of a and 18 is 2, then a =Deselect Answer 3 2 1 4

Question

If the L.C.M. of a and 18 is 36 and the H.C.F of a and 18 is 2, then a =

  • Deselect Answer
  • 3
  • 2
  • 1
  • 4
🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the value of "a", we can use the given information about the L.C.M. and H.C.F. of "a" and 18.

Step 1: L.C.M. of a and 18 is 36 The L.C.M. (Least Common Multiple) is the smallest multiple that is divisible by both numbers. In this case, the L.C.M. of "a" and 18 is 36.

Step 2: H.C.F. of a and 18 is 2 The H.C.F. (Highest Common Factor) is the largest factor that is common to both numbers. In this case, the H.C.F. of "a" and 18 is 2.

Step 3: Finding the value of "a" To find the value of "a", we need to find the prime factors of 18 and see which factors are common with "a".

The prime factors of 18 are 2 and 3.

Since the H.C.F. of "a" and 18 is 2, it means that "a" must have a factor of 2.

However, the L.C.M. of "a" and 18 is 36, which means that "a" must have a factor of 36 as well.

Since 36 is not a factor of 18, it means that "a" must have additional factors that are not present in 18.

Therefore, the only possible value for "a" is 36.

So, a = 36.

This problem has been solved

Similar Questions

Discuss with a classmate: Will f−2 be less than or greater than 18?2. Determine the value of f−2.

4a56 is a four-digit numeral divisible by 33. What is the value of a?Options :A.3B.4C.5D.6

Identify the operation you should use when eliminating these simultaneous equations: (1)(1)2𝑓−3𝑒2f−3e==44 (2)(2)𝑓+3𝑒f+3e==2020

How many times the  H.C.F of the fractions 6/28,12/70 and 32/42 is their L.C.M?*1) 14402) 1443) 2104) 48

Context: that answer is wrong in the correct equation a=2, h=1 and k=-18 Answer question

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.