2 x 2 x 3 x 7 = 84
2 x 2 x 2 x 3 x 3 x 5 = 360
2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520, the LCM
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.
The LCM, or Least Common Multiple, of 7 and 84 is the smallest multiple that both numbers share. To find the LCM, you can first find the prime factorization of each number: 7 is a prime number, and 84 can be broken down into 2^2 * 3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number, which in this case would be 2^2 * 3 * 7 = 84. Therefore, the LCM of 7 and 84 is 84.
The prime factors of 84 are: 2,3,7The prime factors of 360 are: 2,3,5
The LCM of 84 and 360 is 2520.
7 is the greatest prime factor of 84.
To find the Least Common Multiple (LCM) of 12, 7, and 6, we first need to find the prime factorization of each number. The prime factorization of 12 is 2^2 * 3, the prime factorization of 7 is 7, and the prime factorization of 6 is 2 * 3. The LCM is the product of the highest power of all prime factors present in the numbers, which in this case is 2^2 * 3 * 7 = 84. Therefore, the LCM of 12, 7, and 6 is 84.
The prime factorization of 84 in exponential form is: 22 x 3 x 7
2*2*3*7 = 84
84 42,2 21,2,2 7,3,2,2
By finding the prime factors of 84 which when multiplied together equals 84 which are: 2*2*3*7 = 84
84 42,2 21,2,2 7,3,2,2
22 x 3 x 7 = 84