Given numbers are 506,264,810,613,374

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

The LCM of 506,264,810,613,374 is 8542302120.

Find LCM of 506,264,810,613,374 with Prime Factorization

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

2 x 3 x 11 x 23 x 4 x 135 x 613 x 17 = 8542302120

Therefore, the lowest common multiple of 506,264,810,613,374 is 8542302120.

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 264 x 810 x 613 x 374 = 24806845356480

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

613 : 1, 613

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,264,810,613,374, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

264:2x 2x 2x 3x 11

810:2x 3x 3x 3x 3x 5

613:613

374:2x 11x 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 3x 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 24806845356480/(1x2904)

LCM = 24806845356480/2904

LCM = 8542302120

Thus, we can understand that the LCM of 506,264,810,613,374 is 8542302120.

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

• LCM of 297, 580, 921, 963, 847
• LCM of 606, 670, 673, 583, 473
• LCM of 379, 283, 465, 455, 909
• LCM of 158, 684, 847, 626, 447
• LCM of 180, 607, 166, 800, 606

1. What is the LCM of 506, 264, 810, 613, 374?

Answer: LCM of 506, 264, 810, 613, 374 is 8542302120.

2. How to calculate the LCM of 506, 264, 810, 613, 374?

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, 264, 810, 613, 374.

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}.