Given numbers are 508,540,428,475,919

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

The LCM of 508,540,428,475,919 is 640649328300.

Find LCM of 508,540,428,475,919 with Prime Factorization

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

2 x 2 x 5 x 127 x 27 x 107 x 95 x 919 = 640649328300

Therefore, the lowest common multiple of 508,540,428,475,919 is 640649328300.

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.

508 x 540 x 428 x 475 x 919 = 51251946264000

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.

508 : 1, 2, 4, 127, 254, 508

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

428 : 1, 2, 4, 107, 214, 428

475 : 1, 5, 19, 25, 95, 475

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,540,428,475,919, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

540:2x 2x 3x 3x 3x 5

428:2x 2x 107

475:5x 5x 19

919:919

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 5 = 80

Therefore, the value for common factors is 80.

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 = 51251946264000/(1x80)

LCM = 51251946264000/80

LCM = 640649328300

Thus, we can understand that the LCM of 508,540,428,475,919 is 640649328300.

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

• LCM of 886, 747, 651, 465, 487
• LCM of 518, 951, 535, 631, 630
• LCM of 652, 734, 101, 784, 106
• LCM of 967, 452, 711, 353, 830
• LCM of 994, 392, 389, 337, 688

1. What is the LCM of 508, 540, 428, 475, 919?

Answer: LCM of 508, 540, 428, 475, 919 is 640649328300.

2. How to calculate the LCM of 508, 540, 428, 475, 919?

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 508, 540, 428, 475, 919.

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}.