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Q: Lcm of 18 and 24 using prime factorization?

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2 x 32 = 18

2 x 3 x 3 = 18

The prime factorization of 50 is 2x5x5 or 2 x 52. The prime factorization of 18 is 2x3x3 or 2 x 32. The prime factorization of 32 is 2x2x2x2x2 or 25.

Draw the prime factorization table and put both the numbers on it. Find common prime factors and divide both of them writing the products down. Do this until the quotients are either 1 or any prime number. Write down all the factors used and it will be the prime factorization. Multiply them and you will find the LCM of the numbers. Here, 18,21 6,7...................(/3) Prime factorization=6*7*3 LCM=42*3=126

The prime factorization of the number 18 is 2 x 3 x 3.

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It is: 144

72

It is: 32*25 = 288

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

3 x 5 = 15 2 x 3 x 3 = 18 2 x 3 x 3 x 5 = 90, the LCM

18 = 21 x 32

The LCM of 10, 18, and 27 is 270 The prime factorization of 27 is 3 x 3 x 3 The prime factorization of 18 is 3 x 3 .....x 2 The prime factorization of 10 is .... ........,,, 2 x 5 _________________ LCM:3x 3 x 3 x 2 x 5 = 270

2 x 32 = 18

2 x 3 x 3 = 18 3 x 7 = 21 2 x 3 x 3 x 7 = 126, the LCM

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