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How small can the LCM be for any pair of natural numbers?
The LCM can be any positive integer.
What is a statement about what must be true about the least common multiple of any number pair for which the greatest common factor is one of the numbers in the pair?
The LCM must be the other number in the pair. For any pair of numbers X and Y, X*Y = GCF*LCM and the result follows if you put GCF = X (or Y).
What pair of numbers has an least common factor of 6?
That pair of numbers doesn't exist, as the least common factor of any pair of positive numbers is 1. The LCM of 3 and 6 is 6. The GCF of 6 and 12 is 6.
Is the LCM of a pair of numbers ever equal to one of the number example?
Absolutely !.. Any prime number only has itself and 1 as its factors.
What is the LCM of three distinct prime numbers?
The LCM of any three distinct prime numbers is their product.
How small can the LCM be for any pair of natural numbers?
The LCM can be any positive integer.
What pairs of numbers has a LCM as 40?
What is the LCM of 40
What is a statement about what must be true about the least common multiple of any number pair for which the greatest common factor is one of the numbers in the pair?
The LCM must be the other number in the pair. For any pair of numbers X and Y, X*Y = GCF*LCM and the result follows if you put GCF = X (or Y).
How do you get two pair of numbers that have a least common multiple?
Pick any two numbers. All pairs of numbers have an LCM.
What are the 2 pairs of numbers whose LCM is the product of the numbers?
Any pair of prime numbers. 5 and 7 11 and 13
What pair of numbers has an least common factor of 6?
That pair of numbers doesn't exist, as the least common factor of any pair of positive numbers is 1. The LCM of 3 and 6 is 6. The GCF of 6 and 12 is 6.
How do you calculate LCM of three numbers by pesudo code?
For this you will need a couple of helper algorithms. The first is the GCD (greatest common divisor) which is expressed as follows:procedure GCD (a, b) isinput: natural numbers a and bwhile ab doif a>blet a be a-belselet b be b-aend ifend whilereturn aThe second algorithm is the LCM (least common multiple) of two numbers:procedure LCM (a, b) isinput: natural numbers a and b return (a*b) / GCD (a, b)Now that you can calculate the GCD and LCM of any two natural numbers, you can calculate the LCM of any three natural numbers as follows:procedure LCM3 (a, b, c) isinput: natural numbers a, b and c return LCM (LCM (a, b), c)Note that the LCM of three numbers first calculates the LCM of two of those numbers (a and b) and then calculates the LCM of that result along with the third number (c). That is, if the three numbers were 8, 9 and 21, the LCM of 8 and 9 is 72 and the LCM of 72 and 21 is 504. Thus the LCM of 8, 9 and 21 is 504.
What is the LCM of 36 and 35?
35 and 36 are coprime (any pair of consecutive numbers must be). So lcm(35, 36) = 35*36 = 1260.
Why is the least common multiple of 2 prime numbers their product?
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the product.
Is the LCM of a pair of numbers ever equal to one of the number example?
Absolutely !.. Any prime number only has itself and 1 as its factors.
What is the LCM of 25 and 0?
The LCM is not defined for any set of numbers that contains a zero.
What is the LCM of 27 and 135?
For any two natural numbers a & b: Their LCM is b if b is the multiple of a. Here, 135 is the multiple of 27(27 x 5 = 135). Therefore, LCM of 27 & 135 = 135.
