Given numbers are 678,506,454,730

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

The LCM of 678,506,454,730 is 14212449570.

Find LCM of 678,506,454,730 with Prime Factorization

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

2 x 339 x 253 x 227 x 365 = 14212449570

Therefore, the lowest common multiple of 678,506,454,730 is 14212449570.

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.

678 x 506 x 454 x 730 = 113699596560

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

454 : 1, 2, 227, 454

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,506,454,730, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

506:2x 11x 23

454:2x 227

730:2x 5x 73

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 = 113699596560/(2x4)

LCM = 113699596560/8

LCM = 14212449570

Thus, we can understand that the LCM of 678,506,454,730 is 14212449570.

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

• LCM of 691, 515, 615, 280
• LCM of 586, 854, 213, 416
• LCM of 862, 492, 488, 816
• LCM of 595, 871, 577, 221
• LCM of 337, 334, 527, 666

1. What is the LCM of 678, 506, 454, 730?

Answer: LCM of 678, 506, 454, 730 is 14212449570.

2. How to calculate the LCM of 678, 506, 454, 730?

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 678, 506, 454, 730.

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}.