Given numbers are 778,564,363,496,828

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

The LCM of 778,564,363,496,828 is 227135413296.

Find LCM of 778,564,363,496,828 with Prime Factorization

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

2 x 2 x 3 x 389 x 47 x 121 x 124 x 69 = 227135413296

Therefore, the lowest common multiple of 778,564,363,496,828 is 227135413296.

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.

778 x 564 x 363 x 496 x 828 = 65414999029248

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.

778 : 1, 2, 389, 778

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

363 : 1, 3, 11, 33, 121, 363

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,564,363,496,828, is 1.

Now, the common factors can be found like this.

778:2x 389

564:2x 2x 3x 47

363:3x 11x 11

496:2x 2x 2x 2x 31

828:2x 2x 3x 3x 23

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 3 = 288

Therefore, the value for common factors is 288.

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 = 65414999029248/(1x288)

LCM = 65414999029248/288

LCM = 227135413296

Thus, we can understand that the LCM of 778,564,363,496,828 is 227135413296.

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

• LCM of 463, 349, 616, 303, 631
• LCM of 714, 690, 694, 856, 289
• LCM of 144, 660, 666, 787, 510
• LCM of 582, 314, 319, 799, 244
• LCM of 789, 840, 648, 695, 939

1. What is the LCM of 778, 564, 363, 496, 828?

Answer: LCM of 778, 564, 363, 496, 828 is 227135413296.

2. How to calculate the LCM of 778, 564, 363, 496, 828?

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 778, 564, 363, 496, 828.

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}.