Given numbers are 468,730,698,523

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

The LCM of 468,730,698,523 is 31179262140.

Find LCM of 468,730,698,523 with Prime Factorization

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

2 x 234 x 365 x 349 x 523 = 31179262140

Therefore, the lowest common multiple of 468,730,698,523 is 31179262140.

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.

468 x 730 x 698 x 523 = 124717048560

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

698 : 1, 2, 349, 698

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,730,698,523, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

730:2x 5x 73

698:2x 349

523:523

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 = 124717048560/(1x4)

LCM = 124717048560/4

LCM = 31179262140

Thus, we can understand that the LCM of 468,730,698,523 is 31179262140.

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

• LCM of 809, 964, 593, 551
• LCM of 436, 980, 326, 410
• LCM of 820, 245, 669, 836
• LCM of 345, 306, 530, 680
• LCM of 446, 590, 401, 328

1. What is the LCM of 468, 730, 698, 523?

Answer: LCM of 468, 730, 698, 523 is 31179262140.

2. How to calculate the LCM of 468, 730, 698, 523?

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 468, 730, 698, 523.

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}.