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To find the LCM, you first need to find the prime factors of both numbers. In this case:
480 = 2x2x2x2x2x3x5
108 = 2x2x3x3x3
The next step is to note prime factors that are present in both, and cross off one instance of any duplicates. In this case, there are two 2s in both, and one 3 in both. Cross off these, and we're left with
2x2x2x5
2x2x3x3x3
Now simply multiply all these numbers together to get the LCM:
2x2x2x5x2x2x3x3x3=4,320
So the LCM of 480 and 108 is 4,320
What else can I help you with?
What is the LCM of 48 and 480?
LCM of 48 and 480 is 480.
What is the LCM of 32 24 and 40?
LCM of 24 32 and 40 is 480.
What is 108 as a fraction of 480?
108/480 or 9/40
What is the LCM of 96 and 120?
480
What is the LCM of 32 and 120?
The LCM is 480.
What is the LCM of 108 and 54?
The LCM is: 108
What is the least common multiple of 108 and 480?
The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both of these numbers. To find the LCM of 108 and 480, we can use different methods, such as prime factorization, listing multiples, or using the greatest common divisor (GCD). Here, I will explain the LCM using the prime factorization method: Prime Factorization: First, find the prime factors of both numbers: 108 = 2^2 × 3^3 480 = 2^5 × 3 × 5 Then, for each prime number, take the highest power found in both factorizations: For 2, the highest power is 5 (from 480). For 3, the highest power is 3 (from 108). For 5, the highest power is 1 (from 480). Multiply these highest powers of all prime factors to get the LCM: LCM = 2^5 × 3^3 × 5 = 32 × 27 × 5 = 4320 The least common multiple of 108 and 480, therefore, is 4320, indicating the smallest number into which both 108 and 480 can divide evenly. This concept is particularly useful in solving problems involving fractions, multiples, and periodic events in mathematics.
What is the LCM 36 and 108?
LCM of 36 and 108 is 108.
What is the LCM of 36 and 108?
LCM of 36 and 108 is 108.
What is the LCM of 18 108?
Since 108 is a multiple of 18, it is automatically the LCM.
What is the LCM of 27 4 9?
LCM of 4,9,27 is 108
What is the LCM of 18 and 108?
The LCM is 108
