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r: LCM
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Answer:
Method 1: list all multiples and find the lowest common multiple.
Example: LCM for 10 and 12
10 has for multiples 0,10,20,30,40,50,60,70,etc.
12 has for multiples 0,12,24,36,48,60,72,etc.
The lowest common multiple is 60.
Method 2: use the prime factors decomposition. The LCM is the multiplication of common factors by non-common factors
Example:
10
=
2
×
5
and
12
=
2
×
2
×
3
Common factors: 2 and non common factors: 2,3,5
LCM(10, 12) =
2
×
2
×
3
×
5
=
60
Method 3: use the GCD value and apply the formula LCM(a, b) = a * b / GCD(a, b)
Example: GCD(10, 12) = 2
LCM(10, 12) = (10 * 12) / 2 = 60
How to calculate the LCM with multiple numbers? (LCM of 2 numbers or more
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