Given numbers are 576,748,121,324,730

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 576,748,121,324,730 is 3892173120.

Find LCM of 576,748,121,324,730 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 11 x 16 x 17 x 11 x 9 x 365 = 3892173120

Therefore, the lowest common multiple of 576,748,121,324,730 is 3892173120.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

576 x 748 x 121 x 324 x 730 = 12330404444160

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

121 : 1, 11, 121

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

730 : 1, 2, 5, 10, 73, 146, 365, 730

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,748,121,324,730, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

748:2x 2x 11x 17

121:11x 11

324:2x 2x 3x 3x 3x 3

730:2x 5x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 12330404444160/(1x3168)

LCM = 12330404444160/3168

LCM = 3892173120

Thus, we can understand that the LCM of 576,748,121,324,730 is 3892173120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 689, 372, 307, 666, 191
• LCM of 381, 936, 177, 126, 648
• LCM of 567, 429, 473, 900, 857
• LCM of 324, 996, 776, 338, 255
• LCM of 901, 263, 654, 223, 444

1. What is the LCM of 576, 748, 121, 324, 730?

Answer: LCM of 576, 748, 121, 324, 730 is 3892173120.

2. How to calculate the LCM of 576, 748, 121, 324, 730?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 576, 748, 121, 324, 730.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.