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This is similar to the often-used method to find the LCM of 2 numbers: you have to factor each monomial, and eliminate duplicate factors (factors that appear in both terms). An example might make this clearer.
LCM of x2 + 5x, and x2 + 6x + 1
Factoring each: x(x+5), and (x+1)(x+5)
Multiply all the factors, but use the common factor (x+5) only once: x(x+5)(x+1)
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What is the LCM of the monomials 13b to the third power and 7b to the second power?
LCM[(13b3)3, 7b2] = LCM[2197b9, 7b2] = 2197*7*b9 = 15379*b9
Find the LCM of 8 and 9?
lcm(8, 9) = 72. 8 = 2^3 9 = 3^2 lcm = 2^3 x 3^2 = 72
LCM of 8 and 18 and 24?
To find the Least Common Multiple (LCM) of 8, 18, and 24, we first need to find the prime factorization of each number. The prime factorization of 8 is 2^3. The prime factorization of 18 is 2 * 3^2. The prime factorization of 24 is 2^3 * 3. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. So the LCM of 8, 18, and 24 is 2^3 * 3^2 = 72.
How do you find the LCM of 2 or more numbers?
First you Prime Factorize the two (or more) numbers. The LCM of the two (or more) numbers must contain all the prime factors of the two (or more) numbers that made it. To find the LOWEST common multiple, for each prime factor, find from one of the numbers where the prime factor has the highest power. The highest powers of each prime multiply together to form the LCM of the numbers. e.g. LCM of 36 and 24 36 = (2^2)(3^2) 24 = (2^3)3 LCM = (2^3)(3^2) = 72
What is the LCM of 12 9 and 15?
To find the Least Common Multiple (LCM) of 12, 9, and 15, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, the prime factorization of 9 is 3^2, and the prime factorization of 15 is 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 * 3^2 * 5 = 180. Therefore, the LCM of 12, 9, and 15 is 180.
What is teast common multiple monomials of 26ab2 and 28ac3?
The least common multiple (LCM) of two monomials is the smallest monomial that is a multiple of both monomials. To find the LCM of 26ab^2 and 28ac^3, we need to identify the highest power of each variable that appears in either monomial. The LCM will then be the product of these highest powers, along with any remaining unique factors. In this case, the LCM of 26ab^2 and 28ac^3 is 364a^1b^2c^3.
What is the LCM of monomials 24de2 and 36d3e?
72(d^3)(e^2)72 is the LCM of 24 and 36.d^3 is the LCM of d and d^3.e^2 is the LCM of e^2 and e.
What is the LCM of the monomials 8y and 18y3?
72y^3
What is the LCM of the monomials 8y and 18y cubed?
72y
How do you find the LCM of two monomials with variables and exponents?
Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5
What is the LCM of the monomials 8y 18y to the power of 3?
72y^3
What is the LCM of the monomials 24a and 32a to the power of 4?
96a^4
What is the LCM of the monomials 13b to the third power and 7b to the second power?
LCM[(13b3)3, 7b2] = LCM[2197b9, 7b2] = 2197*7*b9 = 15379*b9
Find the greatest common factors of the monomials 14xy2and 21y3?
The GCF is 7y^2.
What is the LCM of 2?
You need at least two numbers to find an LCM.
How do you find the LCM of 2 monomials with subtraction?
Let's try one. 30x2y3z4 - 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Combine the factors, eliminating duplicates. 2 x 3 x 5 x 7 = 210 For the variables, select the highest exponent. The LCM of the above expression is 210x4y5z4
What is the LCM of the monomials 4x and 16x to the 3rd power?
Since 16x3 is a multiple of 4x, it is automatically the GCF of this problem.
