Given numbers are 506,278,576,457

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

The LCM of 506,278,576,457 is 9257079744.

Find LCM of 506,278,576,457 with Prime Factorization

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

2 x 253 x 139 x 288 x 457 = 9257079744

Therefore, the lowest common multiple of 506,278,576,457 is 9257079744.

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.

506 x 278 x 576 x 457 = 37028318976

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

278 : 1, 2, 139, 278

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,278,576,457, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

278:2x 139

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

457:457

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37028318976/(1x4)

LCM = 37028318976/4

LCM = 9257079744

Thus, we can understand that the LCM of 506,278,576,457 is 9257079744.

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

• LCM of 342, 811, 346, 793
• LCM of 673, 801, 843, 414
• LCM of 236, 391, 384, 274
• LCM of 296, 976, 736, 574
• LCM of 859, 826, 804, 687

1. What is the LCM of 506, 278, 576, 457?

Answer: LCM of 506, 278, 576, 457 is 9257079744.

2. How to calculate the LCM of 506, 278, 576, 457?

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 506, 278, 576, 457.

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}.