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In order to find least common multiples (LCMs) using prime factorization, start by factoring each number all the way down to prime numbers (numbers that are only divisible by one and themselves).
18 = 2*3*3 (or 2 * 3^2)
24 = 2*2*2*3 (or 2^3 * 3)
Pull all of the factors from one of the numbers (I'll use 2^3 * 3), and then, since we want the least common multiple, we'll need to include factors from the other number that weren't already used.
Since I already have 2^3, I don't need to multiply by 2, but since 18 has 3^2, and I'm only using 3, I need to multiply in another 3.
So, 24*3 = 72, which is the LCM of 24 & 18.
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What is the LCM of 6 7 and 18?
To find the Least Common Multiple (LCM) of 6, 7, and 18, we first need to find the prime factorization of each number. The prime factorization of 6 is 2 x 3, the prime factorization of 7 is 7, and the prime factorization of 18 is 2 x 3^2. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers, which gives us 2 x 3^2 x 7 = 126. Therefore, the LCM of 6, 7, and 18 is 126.
What is the LCM of 18 and 45 using prime factorization?
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
What is the LCM of 6 9 and 36?
To find the Least Common Multiple (LCM) of 6, 9, and 36, we first need to factor each number into its prime factors. The prime factorization of 6 is 2 x 3, the prime factorization of 9 is 3 x 3, and the prime factorization of 36 is 2 x 2 x 3 x 3. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^2 x 3^2 = 36. Therefore, the LCM of 6, 9, and 36 is 36.
What is the LCM of 4 and 18 using prime factorization?
2 x 2 = 42 x 3 x 3 = 18Combine the factors, eliminating duplicates.2 x 2 x 3 x 3 = 36, the LCM
What is the prime factorization of 18 and 56?
The prime factorization of 18 is 2 x 3 x 3. The prime factorization of 56 is 2 x 2 x 2 x7.
What is the LCM of 18 and 48 using prime factorization?
It is: 144
What is the LCM of 18 and 42 using prime factorization?
It is: 32*25 = 288
Lcm of 18 and 24 using prime factorization?
18 in pime exponents is 2*32 24 in prime exponents is 23*3 LCM: 23*32 = 72
What is the LCM and gcf of 18 and 360?
Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.
What is the LCM of 18 and 30 using prime factorization?
To find the Least Common Multiple (LCM) of 18 and 30 using prime factorization, we first need to break down each number into its prime factors. The prime factorization of 18 is 2 x 3^2, and the prime factorization of 30 is 2 x 3 x 5. To find the LCM, we take the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 18 and 30 is 2 x 3^2 x 5, which equals 90.
What is the gcf and the LCM of 18 and 20 using prime factorization?
2 x 3 x 3 = 18 2 x 2 x 5 = 20 The GCF is 2. The LCM is 180.
What is the prime factorization for 18 using exponets?
18 = 2*32
What is the LCM of 22 and 18 using prime factorization?
2 x 3 x 3 = 18 2 x 11 = 22 2 x 3 x 3 x 11 = 198, the LCM
What is the prime factorization of 18 using exponets?
18 = 21 x 32
What is the LCM of 6 7 and 18?
To find the Least Common Multiple (LCM) of 6, 7, and 18, we first need to find the prime factorization of each number. The prime factorization of 6 is 2 x 3, the prime factorization of 7 is 7, and the prime factorization of 18 is 2 x 3^2. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers, which gives us 2 x 3^2 x 7 = 126. Therefore, the LCM of 6, 7, and 18 is 126.
What is the LCM of 18 and 45 using prime factorization?
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
Using prime factorization find the LCM of 18 and 21?
2 x 3 x 3 = 18 3 x 7 = 21 2 x 3 x 3 x 7 = 126, the LCM
