Given numbers are 576,457,378,735,557

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

The LCM of 576,457,378,735,557 is 107765864640.

Find LCM of 576,457,378,735,557 with Prime Factorization

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

2 x 3 x 3 x 7 x 32 x 457 x 3 x 35 x 557 = 107765864640

Therefore, the lowest common multiple of 576,457,378,735,557 is 107765864640.

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 457 x 378 x 735 x 557 = 40735496833920

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

457 : 1, 457

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,457,378,735,557, is 1.

Now, the common factors can be found like this.

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

457:457

378:2x 3x 3x 3x 7

735:3x 5x 7x 7

557:557

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

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 40735496833920/(1x378)

LCM = 40735496833920/378

LCM = 107765864640

Thus, we can understand that the LCM of 576,457,378,735,557 is 107765864640.

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

• LCM of 465, 586, 883, 754, 797
• LCM of 943, 143, 797, 455, 745
• LCM of 974, 811, 945, 197, 421
• LCM of 451, 598, 583, 973, 771
• LCM of 681, 406, 309, 663, 686

1. What is the LCM of 576, 457, 378, 735, 557?

Answer: LCM of 576, 457, 378, 735, 557 is 107765864640.

2. How to calculate the LCM of 576, 457, 378, 735, 557?

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, 457, 378, 735, 557.

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}.