Given numbers are 326,494,288,630

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

The LCM of 326,494,288,630 is 405830880.

Find LCM of 326,494,288,630 with Prime Factorization

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

2 x 3 x 3 x 163 x 247 x 16 x 35 = 405830880

Therefore, the lowest common multiple of 326,494,288,630 is 405830880.

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.

326 x 494 x 288 x 630 = 29219823360

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.

326 : 1, 2, 163, 326

494 : 1, 2, 13, 19, 26, 38, 247, 494

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,494,288,630, is 2.

Now, the common factors can be found like this.

326:2x 163

494:2x 13x 19

288:2x 2x 2x 2x 2x 3x 3

630:2x 3x 3x 5x 7

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 29219823360/(2x36)

LCM = 29219823360/72

LCM = 405830880

Thus, we can understand that the LCM of 326,494,288,630 is 405830880.

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

• LCM of 516, 684, 825, 417
• LCM of 493, 638, 907, 980
• LCM of 256, 459, 762, 267
• LCM of 728, 818, 384, 539
• LCM of 875, 222, 360, 272

1. What is the LCM of 326, 494, 288, 630?

Answer: LCM of 326, 494, 288, 630 is 405830880.

2. How to calculate the LCM of 326, 494, 288, 630?

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 326, 494, 288, 630.

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}.