Given numbers are 424,678,508,858,894

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

The LCM of 424,678,508,858,894 is 388948034904.

Find LCM of 424,678,508,858,894 with Prime Factorization

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

2 x 2 x 3 x 106 x 113 x 127 x 143 x 149 = 388948034904

Therefore, the lowest common multiple of 424,678,508,858,894 is 388948034904.

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.

424 x 678 x 508 x 858 x 894 = 112017034052352

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

678 : 1, 2, 3, 6, 113, 226, 339, 678

508 : 1, 2, 4, 127, 254, 508

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

894 : 1, 2, 3, 6, 149, 298, 447, 894

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,678,508,858,894, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

678:2x 3x 113

508:2x 2x 127

858:2x 3x 11x 13

894:2x 3x 149

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 = 112017034052352/(2x144)

LCM = 112017034052352/288

LCM = 388948034904

Thus, we can understand that the LCM of 424,678,508,858,894 is 388948034904.

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

• LCM of 501, 436, 302, 937, 459
• LCM of 704, 477, 788, 159, 611
• LCM of 167, 472, 263, 174, 317
• LCM of 969, 935, 470, 983, 560
• LCM of 391, 362, 442, 576, 362

1. What is the LCM of 424, 678, 508, 858, 894?

Answer: LCM of 424, 678, 508, 858, 894 is 388948034904.

2. How to calculate the LCM of 424, 678, 508, 858, 894?

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 424, 678, 508, 858, 894.

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}.