Given numbers are 230,478,573,731,682

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

The LCM of 230,478,573,731,682 is 7851490596510.

Find LCM of 230,478,573,731,682 with Prime Factorization

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

2 x 115 x 239 x 573 x 731 x 341 = 7851490596510

Therefore, the lowest common multiple of 230,478,573,731,682 is 7851490596510.

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.

230 x 478 x 573 x 731 x 682 = 31405962386040

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

478 : 1, 2, 239, 478

573 : 1, 3, 191, 573

731 : 1, 17, 43, 731

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,478,573,731,682, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

478:2x 239

573:3x 191

731:17x 43

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31405962386040/(1x4)

LCM = 31405962386040/4

LCM = 7851490596510

Thus, we can understand that the LCM of 230,478,573,731,682 is 7851490596510.

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

• LCM of 814, 443, 238, 920, 725
• LCM of 584, 292, 109, 980, 370
• LCM of 318, 601, 738, 643, 426
• LCM of 956, 194, 135, 452, 341
• LCM of 665, 995, 195, 543, 922

1. What is the LCM of 230, 478, 573, 731, 682?

Answer: LCM of 230, 478, 573, 731, 682 is 7851490596510.

2. How to calculate the LCM of 230, 478, 573, 731, 682?

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 230, 478, 573, 731, 682.

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}.