FIND THE L. C.M OF THE FOLLOWING NUMBERS; 6 AND 14

The LCM of 6 and 14 is 42

Step-by-step explanation:

Concept:

Here, we need to know the idea of the Least Common Multiple (LCM)

The least common multiple is a number that can be divided by all the terms given but at the least perspective.

Solve:

#ONE SOLUTION

First Ten Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

First Ten Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140

As we can see from the list above, 42 overlaps in both numbers and it is the least, so 42 is the LCM of 6 and 14.

#TWO SOLUTION (This is only for advanced purposes, don't freak out if you feel like you don't understand this)

This is a factoring method to find the LCM.

Step One: Write the numbers down

| 6     14 |

Step Two: Find the numbers' GCF (Greatest Common Factor)

GCF of 6 and 14 = 2

Step Three: Divide both numbers by the GCF, the remaining stays in the [ | ], while GCF is going to be written at the leftmost

2 | 6     14|

   | 3     7 |

Step Four: Check whether the remainings inside the [ | ] is still divisible

3 and 7 is apparently not able to be divided anymore

Step Five: Multiply all the outermost remainings together

2 × 3 × 7 = 42

Hope this helps!! :)

Please let me know if you have any questions

the radius is 2 times the diameter.

step-by-step explanation: