Given numbers are 264,643,678,825

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

The LCM of 264,643,678,825 is 479549400.

Find LCM of 264,643,678,825 with Prime Factorization

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

2 x 3 x 11 x 4 x 643 x 113 x 25 = 479549400

Therefore, the lowest common multiple of 264,643,678,825 is 479549400.

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.

264 x 643 x 678 x 825 = 94950781200

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

643 : 1, 643

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

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,643,678,825, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

643:643

678:2x 3x 113

825:3x 5x 5x 11

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 94950781200/(1x198)

LCM = 94950781200/198

LCM = 479549400

Thus, we can understand that the LCM of 264,643,678,825 is 479549400.

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

• LCM of 355, 741, 788, 428
• LCM of 292, 921, 592, 325
• LCM of 229, 469, 866, 395
• LCM of 345, 113, 484, 249
• LCM of 396, 238, 814, 710

1. What is the LCM of 264, 643, 678, 825?

Answer: LCM of 264, 643, 678, 825 is 479549400.

2. How to calculate the LCM of 264, 643, 678, 825?

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 264, 643, 678, 825.

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}.