Given numbers are 828,138,776,698,356

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

The LCM of 828,138,776,698,356 is 4989390552.

Find LCM of 828,138,776,698,356 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 3 x 194 x 349 x 89 = 4989390552

Therefore, the lowest common multiple of 828,138,776,698,356 is 4989390552.

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.

828 x 138 x 776 x 698 x 356 = 22033148677632

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.

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

776 : 1, 2, 4, 8, 97, 194, 388, 776

698 : 1, 2, 349, 698

356 : 1, 2, 4, 89, 178, 356

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,138,776,698,356, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

138:2x 3x 23

776:2x 2x 2x 97

698:2x 349

356:2x 2x 89

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 23 = 2208

Therefore, the value for common factors is 2208.

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 = 22033148677632/(2x2208)

LCM = 22033148677632/4416

LCM = 4989390552

Thus, we can understand that the LCM of 828,138,776,698,356 is 4989390552.

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

• LCM of 425, 992, 534, 117, 277
• LCM of 812, 925, 746, 190, 925
• LCM of 345, 998, 373, 117, 875
• LCM of 826, 220, 110, 566, 130
• LCM of 382, 149, 310, 165, 782

1. What is the LCM of 828, 138, 776, 698, 356?

Answer: LCM of 828, 138, 776, 698, 356 is 4989390552.

2. How to calculate the LCM of 828, 138, 776, 698, 356?

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 828, 138, 776, 698, 356.

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}.