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
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 least common multiple (LCM) of 28 and 42 can be found by determining the prime factorization of both numbers. The prime factorization of 28 is (2^2 \times 7) and for 42, it is (2 \times 3 \times 7). The LCM is found by taking the highest power of each prime: (2^2 \times 3^1 \times 7^1 = 84). Therefore, the LCM of 28 and 42 is 84.
The LCM of 84 and 360 is 2520.
7 is the greatest prime factor of 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