Given numbers are 314,461,506,728,850

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

The LCM of 314,461,506,728,850 is 5665541281400.

Find LCM of 314,461,506,728,850 with Prime Factorization

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

2 x 157 x 461 x 253 x 364 x 425 = 5665541281400

Therefore, the lowest common multiple of 314,461,506,728,850 is 5665541281400.

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.

314 x 461 x 506 x 728 x 850 = 45324330251200

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.

314 : 1, 2, 157, 314

461 : 1, 461

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,461,506,728,850, is 1.

Now, the common factors can be found like this.

314:2x 157

461:461

506:2x 11x 23

728:2x 2x 2x 7x 13

850:2x 5x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 45324330251200/(1x8)

LCM = 45324330251200/8

LCM = 5665541281400

Thus, we can understand that the LCM of 314,461,506,728,850 is 5665541281400.

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

• LCM of 626, 620, 313, 872, 969
• LCM of 696, 414, 407, 433, 680
• LCM of 412, 645, 536, 713, 567
• LCM of 447, 600, 150, 741, 297
• LCM of 587, 640, 368, 566, 171

1. What is the LCM of 314, 461, 506, 728, 850?

Answer: LCM of 314, 461, 506, 728, 850 is 5665541281400.

2. How to calculate the LCM of 314, 461, 506, 728, 850?

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 314, 461, 506, 728, 850.

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}.