Oh, dude, HCM stands for the Highest Common Multiple, which is basically the largest number that can be divided evenly into all the numbers given. So, for 96, 108, and 180, the HCM would be 12, since it's the largest number that can divide all of them without leaving a remainder. Easy peasy, right?
To find the Least Common Multiple (LCM) of 96, 108, and 180, we first need to prime factorize each number. 96 = 2^5 * 3 108 = 2^2 * 3^3 180 = 2^2 * 3^2 * 5 The LCM is the product of the highest power of each prime factor that appears in any of the numbers. Therefore, LCM(96, 108, 180) = 2^5 * 3^3 * 5 = 4320.
The Greatest Common Factor of 108, 180, 75 is 3.
The GCF/HCF of 96 and 180 is 12.
To find the equivalent fraction for 108 over 180, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 36. When we divide 108 by 36, we get 3, and when we divide 180 by 36, we get 5. Therefore, the equivalent fraction for 108 over 180 is 3 over 5.
To find 60% of 180 you must: 1. Change 60% to a decimal =0.60 2. Multiply 180 by 0.60 =108 Therefore 60% of 180 is 108.
The GCF is 12.
Least Common Multiple (LCM) for 96 108 180 is 4,320.
4
There can be no HCM (Highest Common Multiple). Suppose x is the HCM of two numbers a and b. That is to say, x is a multiple of a, x is a multiple of b and x is the highest such number. Now consider the number 2x. It is a multiple of a, it is a multiple of b and it is greater than x. This contradicts the statement that x is the highest such number. So such an x cannot exist.
2^5 x 3 = 96 2^2 x 3^3 = 108 2^2 x 3^2 x 5 = 180 2^2 x 3 = 12, the GCF
To find the Least Common Multiple (LCM) of 96, 108, and 180, we first need to prime factorize each number. 96 = 2^5 * 3 108 = 2^2 * 3^3 180 = 2^2 * 3^2 * 5 The LCM is the product of the highest power of each prime factor that appears in any of the numbers. Therefore, LCM(96, 108, 180) = 2^5 * 3^3 * 5 = 4320.
The Least Common Multiple (LCM) for 108 180 is 540.
HCF(96, 180) = 12
The LCM is 4320.
The GCF is 36.
180 - 72 = 108
LCM of 32 108 and 180 is 4320.