Given numbers are 578,292,856,486,160

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

The LCM of 578,292,856,486,160 is 87766895520.

Find LCM of 578,292,856,486,160 with Prime Factorization

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

2 x 2 x 2 x 289 x 73 x 107 x 243 x 20 = 87766895520

Therefore, the lowest common multiple of 578,292,856,486,160 is 87766895520.

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.

578 x 292 x 856 x 486 x 160 = 11234162626560

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.

578 : 1, 2, 17, 34, 289, 578

292 : 1, 2, 4, 73, 146, 292

856 : 1, 2, 4, 8, 107, 214, 428, 856

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,292,856,486,160, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

292:2x 2x 73

856:2x 2x 2x 107

486:2x 3x 3x 3x 3x 3

160:2x 2x 2x 2x 2x 5

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 2 = 64

Therefore, the value for common factors is 64.

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 = 11234162626560/(2x64)

LCM = 11234162626560/128

LCM = 87766895520

Thus, we can understand that the LCM of 578,292,856,486,160 is 87766895520.

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

• LCM of 696, 229, 399, 588, 507
• LCM of 859, 597, 162, 912, 556
• LCM of 155, 695, 744, 692, 904
• LCM of 314, 556, 946, 160, 445
• LCM of 429, 162, 478, 502, 180

1. What is the LCM of 578, 292, 856, 486, 160?

Answer: LCM of 578, 292, 856, 486, 160 is 87766895520.

2. How to calculate the LCM of 578, 292, 856, 486, 160?

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 578, 292, 856, 486, 160.

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}.