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.
2 x 3 x 3 = 18
2 x 2 x 2 x 3 = 24
2 x 2 x 2 x 3 x 3 = 72, the LCM
24 = 2^3*318 = 2*3^2
So LCM = 2^3*3^2 = 72
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
The greatest common factor of 12, 18, and 28 is 2.The prime factorization of 12 is 2*2*3The prime factorization of 18 is 2*3*3The prime factorization of 28 is 2*2*7So the greatest common factor of the set is 2.
2 x 2 = 42 x 3 x 3 = 18Combine the factors, eliminating duplicates.2 x 2 x 3 x 3 = 36, the LCM
The prime factorization of 18 is 2 x 3 x 3. The prime factorization of 56 is 2 x 2 x 2 x7.
its 36
It is: 144
It is: 32*25 = 288
18 in pime exponents is 2*32 24 in prime exponents is 23*3 LCM: 23*32 = 72
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.
2 x 3 x 3 = 18 2 x 2 x 5 = 20 The GCF is 2. The LCM is 180.
18 = 2*32
2 x 3 x 3 = 18 2 x 11 = 22 2 x 3 x 3 x 11 = 198, the LCM
18 = 21 x 32
2 x 3 x 3 = 18 3 x 7 = 21 2 x 3 x 3 x 7 = 126, the LCM
2 x 3 x 3 = 18 3 x 3 x 5 = 45 2 x 3 x 3 x 5 = 90, the LCM
2 x 32 = 18
The greatest common factor of 12, 18, and 28 is 2.The prime factorization of 12 is 2*2*3The prime factorization of 18 is 2*3*3The prime factorization of 28 is 2*2*7So the greatest common factor of the set is 2.