What is the LCM of 14 and 35? a. 140 b. 70 c. 56 d. 7
2 answers:
Answer: 70
Step-by-step explanation: To find the least common multiple for the integers 14 and 35, we start by making a factor tree for each of the integers.
14 factors as 2 × 7 and 35 is 7 × 5. We are looking for the factors that match up.
In this case, both integers have a factor of 7.
When finding the LCM, we multiply all the factors together, but because the 7's match up, we only need to multiply by 7 once.
So we have 2 × 7 × 5 which is 70.
Therefore, the least common multiple for 14 and 35 is 70.
You might be interested in
Given:
The function is:
To find:
The steps of finding the inverse function .
Solution:
We have,
The steps of finding the inverse function are:
Step 1: Substitute .
Step 2: Interchange x and y.
Step 3: Taking square on both sides, we get
Step 4: Adding 21 on both sides, we get
Step 5: Divide both sides by 7.
Step 6: Substitute .
, where
.
Therefore, the inverse of the given function is and the arrangement of steps is shown above.