Given numbers are 754,464,212,319

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

The LCM of 754,464,212,319 is 3516656.

Find LCM of 754,464,212,319 with Prime Factorization

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

2 x 2 x 29 x 13 x 4 x 53 x 11 = 3516656

Therefore, the lowest common multiple of 754,464,212,319 is 3516656.

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.

754 x 464 x 212 x 319 = 23660061568

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

212 : 1, 2, 4, 53, 106, 212

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,464,212,319, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

464:2x 2x 2x 2x 29

212:2x 2x 53

319:11x 29

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 29x 29 = 6728

Therefore, the value for common factors is 6728.

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 = 23660061568/(1x6728)

LCM = 23660061568/6728

LCM = 3516656

Thus, we can understand that the LCM of 754,464,212,319 is 3516656.

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

• LCM of 390, 964, 938, 337
• LCM of 827, 451, 356, 556
• LCM of 162, 346, 709, 302
• LCM of 809, 823, 827, 967
• LCM of 734, 615, 493, 482

1. What is the LCM of 754, 464, 212, 319?

Answer: LCM of 754, 464, 212, 319 is 3516656.

2. How to calculate the LCM of 754, 464, 212, 319?

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 754, 464, 212, 319.

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}.