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What are All pairs of numbers that have a least common multiple of 18?
To find all pairs of numbers with a least common multiple (LCM) of 18, we need to consider the prime factorization of 18, which is 2 x 3^2. Any pair of numbers whose prime factorization includes 2 and/or 3^2 will have an LCM of 18. So, the pairs could be (2, 18), (3, 18), (6, 18), (9, 18), and (18, 18). These pairs have an LCM of 18 because they include the prime factors of 18.
What is the least common multiple of 12 and 8?
The LCM of 8 and 12 is 24.The multiples of 8 are 8, 16, 24, and so onThe multiples of 12 are 12, 24, and so onSo, the LCM is: 24Common Multiples: 24, 48, 72, etc.Or the least common multiple:LCM: 24Read more: What_are_the_common_multiples_of_8_and_12
Can you always determine the LCM of any 2 numbers and why?
Yes. Given any two numbers, x and y, suppose g is their greatest common factor (GCF). 1 is a common factor so g must exist. Also g must be smaller than x and it must be smaller than y. So g is bounded above (by the smaller of x and y) and so g is finite. Therefore, by the definition of g, x = p*g and y = q*g where p and q have no common factors. Then L = p*q*g is the LCM of x and y. L = p*g*q = x*q so L is a multiple of x L = p*q*g = q*y so L is a multiple of y ie L is a common multiple. It can be shown that any number smaller than L cannot be a multiple of x and y so that L is the least.
What is the least common first letter?
The least popular first letter is 'x', runner up is 'z', followed by 'q'.
What is a complex example of finding the least common multiple?
Suppose p, q, r and s are four prime numbers, each one a 100 (or more) digits long.Let A = p*q and B = r*s then finding the LCM of A and B is extremely complex - even with computers. Data encryption is based on such numbers.
What are common nouns that begin with q?
Some common nouns that begin with Q are:quartquarterquartzqueenquestquestionquietquillquiltquincequorumquote
-12q plus 4 equals q-6?
-12q+4=q-6 4-6=q+12q -2=13q q=-2/13
What is the answer to q plus 6 times q plus 5 equals?
(q + 6) (q + 5) = q2 + 11q + 30
What common noun starts with a q?
A common noun is a general word for any person, place, or thing.Examples of common nouns that start with"q" are:quadranglequailqualityquartquarterqueenquestquestionquietquillquiltquorumquotaquote
Prove that if gcd(a,b)=1, then lcm(a,b)=ab?
gcd(a,b) = 1, Since lcm is the multiple of a and b, a|lcm(a,b) =⇒ lcm(a,b) = ax b|lcm(a,b) =⇒ b|ax =⇒ ax = bq for q∈Z Since gcd(a,b) = 1,b |x and b≤x =⇒ ab ≤ ax ---→ (O1) However, ax is the least common multiple and ab is a common multiple of a and b, ax ≤ ab ---→ (O2) by (O1) and (O2) , ax = ab lcm(a,b) = ab
What is the contrapositive of the contrapositive?
Given two propositions, p and q, start out with p implies q. For example if a number is even it is a multiple of 2. So we are saying even implies multiple of 2. Now the contrapositive is not p implies not q so if a number is not even it is not a multiple of 2. Or if not p then not q. The contrapositive of the contrapositive would negate a negation so that would make it positive. If not (not p) then not(not q) or in other words, you are back where you started, p implies q.
What is q x 6 equals 18?
q = 3
