Well, isn't that just a happy little question! The highest common multiple (HCM) of 96, 108, and 180 is 36. You see, finding the HCM is like finding common ground between friends – it's about discovering the number that all of them can agree on. Just like painting a beautiful landscape, finding the HCM brings harmony and unity to the numbers.
The highest common factor (HCF) of 96, 108, and 180 is 12. To find the HCF, you can first find the factors of each number and then identify the largest factor that is common to all three numbers. In this case, the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96; the factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108; and the factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, and 90. The largest factor that is common to all three numbers is 12, making it the highest common factor.
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.
It is a fraction of the form (108*k)/(180*k) where k is any non-zero integer or a common factor of 108 and 180.
The Greatest Common Factor of 108, 180, 75 is 3.
The GCF/HCF of 96 and 180 is 12.
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.
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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.
It is a fraction of the form (108*k)/(180*k) where k is any non-zero integer or a common factor of 108 and 180.
12 12*8=96 12*9=108