Given numbers are 508,924,544,806,340

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

The LCM of 508,924,544,806,340 is 32158045920.

Find LCM of 508,924,544,806,340 with Prime Factorization

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

2 x 2 x 17 x 127 x 231 x 8 x 403 x 5 = 32158045920

Therefore, the lowest common multiple of 508,924,544,806,340 is 32158045920.

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 924 x 544 x 806 x 340 = 69975907921920

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

806 : 1, 2, 13, 26, 31, 62, 403, 806

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,924,544,806,340, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

924:2x 2x 3x 7x 11

544:2x 2x 2x 2x 2x 17

806:2x 13x 31

340:2x 2x 5x 17

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 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 69975907921920/(2x1088)

LCM = 69975907921920/2176

LCM = 32158045920

Thus, we can understand that the LCM of 508,924,544,806,340 is 32158045920.

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

• LCM of 645, 606, 820, 859, 160
• LCM of 903, 997, 242, 443, 806
• LCM of 784, 948, 398, 523, 432
• LCM of 746, 931, 168, 907, 593
• LCM of 518, 625, 464, 671, 857

1. What is the LCM of 508, 924, 544, 806, 340?

Answer: LCM of 508, 924, 544, 806, 340 is 32158045920.

2. How to calculate the LCM of 508, 924, 544, 806, 340?

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, 924, 544, 806, 340.

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}.