Given numbers are 782,163,726,540,384

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

The LCM of 782,163,726,540,384 is 133258055040.

Find LCM of 782,163,726,540,384 with Prime Factorization

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

2 x 2 x 3 x 391 x 163 x 121 x 45 x 32 = 133258055040

Therefore, the lowest common multiple of 782,163,726,540,384 is 133258055040.

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.

782 x 163 x 726 x 540 x 384 = 19189159925760

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

163 : 1, 163

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,163,726,540,384, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

163:163

726:2x 3x 11x 11

540:2x 2x 3x 3x 3x 5

384:2x 2x 2x 2x 2x 2x 2x 3

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 3 = 144

Therefore, the value for common factors is 144.

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 = 19189159925760/(1x144)

LCM = 19189159925760/144

LCM = 133258055040

Thus, we can understand that the LCM of 782,163,726,540,384 is 133258055040.

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

• LCM of 116, 686, 562, 851, 967
• LCM of 184, 890, 903, 409, 389
• LCM of 736, 123, 465, 353, 245
• LCM of 980, 158, 824, 499, 514
• LCM of 452, 512, 738, 503, 395

1. What is the LCM of 782, 163, 726, 540, 384?

Answer: LCM of 782, 163, 726, 540, 384 is 133258055040.

2. How to calculate the LCM of 782, 163, 726, 540, 384?

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 782, 163, 726, 540, 384.

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}.