Given numbers are 264,596,314,924

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

The LCM of 264,596,314,924 is 43230264.

Find LCM of 264,596,314,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 2 x 149 x 157 x 7 = 43230264

Therefore, the lowest common multiple of 264,596,314,924 is 43230264.

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 596 x 314 x 924 = 45651158784

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

596 : 1, 2, 4, 149, 298, 596

314 : 1, 2, 157, 314

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,596,314,924, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

596:2x 2x 149

314:2x 157

924:2x 2x 3x 7x 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 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 45651158784/(2x528)

LCM = 45651158784/1056

LCM = 43230264

Thus, we can understand that the LCM of 264,596,314,924 is 43230264.

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

• LCM of 499, 343, 908, 254
• LCM of 393, 663, 833, 329
• LCM of 341, 378, 428, 103
• LCM of 359, 842, 287, 495
• LCM of 767, 952, 297, 674

1. What is the LCM of 264, 596, 314, 924?

Answer: LCM of 264, 596, 314, 924 is 43230264.

2. How to calculate the LCM of 264, 596, 314, 924?

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, 596, 314, 924.

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}.