Given numbers are 468,566,749,331

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

The LCM of 468,566,749,331 is 32835384036.

Find LCM of 468,566,749,331 with Prime Factorization

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

2 x 234 x 283 x 749 x 331 = 32835384036

Therefore, the lowest common multiple of 468,566,749,331 is 32835384036.

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 566 x 749 x 331 = 65670768072

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

566 : 1, 2, 283, 566

749 : 1, 7, 107, 749

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,566,749,331, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

566:2x 283

749:7x 107

331:331

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

2 = 2

Therefore, the value for common factors is 2.

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 = 65670768072/(1x2)

LCM = 65670768072/2

LCM = 32835384036

Thus, we can understand that the LCM of 468,566,749,331 is 32835384036.

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

• LCM of 433, 369, 910, 390
• LCM of 117, 710, 423, 429
• LCM of 695, 838, 449, 645
• LCM of 876, 702, 919, 392
• LCM of 502, 342, 748, 263

1. What is the LCM of 468, 566, 749, 331?

Answer: LCM of 468, 566, 749, 331 is 32835384036.

2. How to calculate the LCM of 468, 566, 749, 331?

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, 566, 749, 331.

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}.