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How do you find the LCM of 1728?

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How do you find the LCM of 1728?

Steps to find LCM

  1. Find the prime factorization of 1728. 1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3.
  2. Find the prime factorization of 1728. 1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3.
  3. LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3.
  4. LCM = 1728.

What is the LCM of 2744?

Solution: The factors of 2744 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744 and factors of 346 are 1, 2, 173, 346. Therefore, the Least Common Multiple (LCM) of 2744 and 346 is 474712 and Highest Common Factor (HCF) of 2744 and 346 is 2.

What is the LCM of 5832?

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The LCM of 5832 and 5832 is 5832.

What is the LCM of 5184?

26495424
Therefore, the Least Common Multiple (LCM) of 5184 and 5111 is 26495424 and Greatest Common Factor (GCF) of 5184 and 5111 is 1. Example 3: Find if 1, 3, 18, 27, 32, 108, 162 and 3820 are factors of 5184.

What are the factors of 1728?

Factors of 1728

  • All Factors of 1728: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 144, 192, 216, 288, 432, 576, 864 and 1728.
  • Prime Factors of 1728: 2, 3.
  • Prime Factorization of 1728: 26 × 33
  • Sum of Factors of 1728: 5080.

What is the LCM of 2197?

4321499
The factors of 2197 are 1, 13, 169, 2197 and factors of 1967 are 1, 7, 281, 1967. Therefore, the LCM of 2197 and 1967 is 4321499 and Greatest Common Factor (GCF) of 2197 and 1967 is 1.

What is the prime factorization of 1728?

Factors of 1728 are integers that can be divided evenly into 1728. There are 28 factors of 1728 of which 1728 itself is the biggest factor and its prime factors are 2, 3 The sum of all factors of 1728 is 5080.

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What is the LCM of 4913?

The factors of 4913 are 1, 17, 289, 4913 and factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. Therefore, the Least Common Multiple (LCM) of 4913 and 1450 is 7123850 and Highest Common Factor (HCF) of 4913 and 1450 is 1.

What are multiples of 5184?

Hence, the factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 288, 324, 432, 576, 648, 864, 1296, 1728, 2592, 5184.

What is the square of 5184?

72
Hence, the square root of 5184 is 72.

How do you find the number of divisors of 1728?

The number 1,728 can be divided by 28 positive divisors (out of which 24 are even, and 4 are odd)….Divisors of 1728.

Even divisors 24
4k+3 divisors 2
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What is a cube root of 1728?

Hence, the cube root of 1728 is 12.

How many values of k are possible with the integer number 5184?

Now, 5184 is 3 times 1728. Therefore the Other Number has to be having one of the factors as 3^4, which is 81. 81, 162, 324, 648, 1296, 2592 and 5184. Thus 7 values of k are possible. 5184 = 2 6 ⋅ 3 4. Therefore, the power of 3 in the prime decomposition of K must be 4, and the power of 2 must be less than or equal to 6.

Which LCM accounts for the largest power of 5184?

5184 = 3 4 × 2 6. Thus LCM accounts largest powers. Hence there are 7 ways to give different values of n. One of the numbers is 1728 (1728 = 3^3* 2^6) and LCM is 5184. Now, 5184 is 3 times 1728.

How many possible values of k are there?

There are seven possible values of k, which are: 81, 162, 324, 648, 1296, 2592 and 5184. What are the numbers of pairs if the product of two numbers is 15120 and their HCF is 6?