Given numbers are 326,780,433,748,816

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

The LCM of 326,780,433,748,816 is 41178611760.

Find LCM of 326,780,433,748,816 with Prime Factorization

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

2 x 2 x 3 x 17 x 163 x 65 x 433 x 11 x 4 = 41178611760

Therefore, the lowest common multiple of 326,780,433,748,816 is 41178611760.

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 780 x 433 x 748 x 816 = 67203494392320

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

433 : 1, 433

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,780,433,748,816, is 1.

Now, the common factors can be found like this.

326:2x 163

780:2x 2x 3x 5x 13

433:433

748:2x 2x 11x 17

816:2x 2x 2x 2x 3x 17

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 2x 3x 17 = 1632

Therefore, the value for common factors is 1632.

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 = 67203494392320/(1x1632)

LCM = 67203494392320/1632

LCM = 41178611760

Thus, we can understand that the LCM of 326,780,433,748,816 is 41178611760.

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

• LCM of 353, 635, 868, 708, 978
• LCM of 814, 171, 588, 728, 542
• LCM of 958, 622, 287, 736, 916
• LCM of 589, 558, 854, 634, 827
• LCM of 257, 379, 781, 143, 136

1. What is the LCM of 326, 780, 433, 748, 816?

Answer: LCM of 326, 780, 433, 748, 816 is 41178611760.

2. How to calculate the LCM of 326, 780, 433, 748, 816?

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, 780, 433, 748, 816.

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}.