Given numbers are 538,506,582,560,777

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

The LCM of 538,506,582,560,777 is 410351042640.

Find LCM of 538,506,582,560,777 with Prime Factorization

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

2 x 3 x 7 x 269 x 253 x 97 x 40 x 37 = 410351042640

Therefore, the lowest common multiple of 538,506,582,560,777 is 410351042640.

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.

538 x 506 x 582 x 560 x 777 = 68938975163520

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.

538 : 1, 2, 269, 538

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,506,582,560,777, is 1.

Now, the common factors can be found like this.

538:2x 269

506:2x 11x 23

582:2x 3x 97

560:2x 2x 2x 2x 5x 7

777:3x 7x 37

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 68938975163520/(1x168)

LCM = 68938975163520/168

LCM = 410351042640

Thus, we can understand that the LCM of 538,506,582,560,777 is 410351042640.

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

• LCM of 369, 577, 666, 576, 611
• LCM of 953, 422, 683, 511, 529
• LCM of 912, 837, 383, 503, 381
• LCM of 514, 180, 316, 381, 682
• LCM of 286, 101, 329, 268, 840

1. What is the LCM of 538, 506, 582, 560, 777?

Answer: LCM of 538, 506, 582, 560, 777 is 410351042640.

2. How to calculate the LCM of 538, 506, 582, 560, 777?

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 538, 506, 582, 560, 777.

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}.