Answer: The LCM of 6 and 14 is 42
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.
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#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