Given numbers are 743,408,284,771,882

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

The LCM of 743,408,284,771,882 is 813125879496.

Find LCM of 743,408,284,771,882 with Prime Factorization

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

2 x 2 x 3 x 743 x 34 x 71 x 257 x 147 = 813125879496

Therefore, the lowest common multiple of 743,408,284,771,882 is 813125879496.

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.

743 x 408 x 284 x 771 x 882 = 58545063323712

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.

743 : 1, 743

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

284 : 1, 2, 4, 71, 142, 284

771 : 1, 3, 257, 771

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,408,284,771,882, is 1.

Now, the common factors can be found like this.

743:743

408:2x 2x 2x 3x 17

284:2x 2x 71

771:3x 257

882:2x 3x 3x 7x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 58545063323712/(1x72)

LCM = 58545063323712/72

LCM = 813125879496

Thus, we can understand that the LCM of 743,408,284,771,882 is 813125879496.

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

• LCM of 966, 839, 467, 468, 269
• LCM of 654, 547, 802, 538, 759
• LCM of 121, 454, 525, 640, 554
• LCM of 333, 500, 887, 371, 246
• LCM of 809, 813, 462, 544, 329

1. What is the LCM of 743, 408, 284, 771, 882?

Answer: LCM of 743, 408, 284, 771, 882 is 813125879496.

2. How to calculate the LCM of 743, 408, 284, 771, 882?

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 743, 408, 284, 771, 882.

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}.