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Well, isn't that just a happy little question! To find the LCM of 84 and 360 using prime factorization, we first break down each number into its prime factors. For 84, that's 2^2 * 3 * 7, and for 360, it's 2^3 * 3^2 * 5. Then, we take the highest power of each prime factor that appears in either number, which gives us 2^3 * 3^2 * 5 * 7, resulting in an LCM of 2,520.
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What is the LCM of 42 126 using prime factorization?
the LCM of 42 and 126 using a prime factorization is 2 times 2 times 3
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 12 and 30 using prime factorization?
It is: 60
What is the LCM of 100 and 250 using prime factorization?
It is 500
What is the LCM of 42 and126 using prime factorization?
It is: 126
