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The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. In this case, the LCM of ab and bc would be the product of the two numbers divided by their greatest common divisor (GCD), which is b. Therefore, the LCM of ab and bc is abc.
It depends on whether or not a and c are coprime (have no factors in common).
Suppose x is the greatest common factor of a and c, where x = 1 if a and c are coprime.
ie GCF(a, c) = x
then let a = x*m and c = x*n where m and n are coprime
then LCM(ab, bc) = LCM(x*m*b, x*n*b) = x*m*n*b
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What is the GCF of ab and bc?
The GCF is b.
If GCF ab 1 then LCM ab ab?
LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
What is the LCM of bc and cd?
bcd
What is greatest common factor of ab-bc?
The GCF is b.
What is 3a plus ab plus 3c plus bc?
That factors to (b + 3)(a + c)
If ab plus bc equals ac then ac equals ab plus bc?
yes because ab plus bc is ac
Ab plus bc equals bc plus ab what property is this?
Commutativity.
Why are there six trigonometrics functions only?
All the trigonometric functions are derived from the right angled triangle. If we consider the three sides (AB, BC, CA) of a triangle and the included angle. There is a possibility of getting six functions based on the ratios like AB/AC, BC/AC, AB/BC, BC/AB, AC/BC, AC/AB . So we will have six trigonometric functions
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
Use Boolean algebra to simplify the logic function and realize the given function and minimized function using discrete gates. f equals ab c plus abc plus ac plus bc plus abC.?
Do you mean F = abc + abc + ac + bc + abc' ? *x+x = x F = abc + ac + bc + abc' *Rearranging F = abc + abc' + ab + bc *Factoring out ab F = ab(c+c') + ab + bc *x+x' = 1 F = ab + ab + bc *x+x = x F = bc
In the straightedge and compass construction of an equilateral triangle below which of the following reasons can you use to prove that and are congruent?
AB and BC are both radii of B. To prove that AB and AC are congruent: "AC and AB are both radii of B." Apex.
What is another word for perpendicular?
Line AB is perpendicular to BC. you can say this like; Line AB is at a right angle to BC
In triangle ABC side AB is 9 cm shorter than side AC while bc is 3cm longer than side AC if the perimeter is 48 cm find the lenghts of the three sides?
AB + AC + BC = 48 AB + (AB +9) + (AB + 9 + 3) = 48 Solve and AB = 9 So AB = 9, AC = 18 and BC = 21
What is BC if AC is 5 and AB is 8?
AC=5 AB=8 A=1 B=8 C=5 BC=40
What is the difference between ap calculus ab and ap calculus bc?
yes it will definitely help you for BC next year.
What is the GCF of ab and bc?
The GCF is b.
If GCF ab 1 then LCM ab ab?
LCM is the multiple of the highest power of prime factors in two or more numbers. Example: LCM of 9, 15, and 25 is 225, which is the multiple of the highest power of prime factors in 9, 15, and 25 (32 x 52).
