Given numbers are 249,621,312,844,678

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

The LCM of 249,621,312,844,678 is 127809733896.

Find LCM of 249,621,312,844,678 with Prime Factorization

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

2 x 2 x 3 x 83 x 207 x 26 x 211 x 113 = 127809733896

Therefore, the lowest common multiple of 249,621,312,844,678 is 127809733896.

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.

249 x 621 x 312 x 844 x 678 = 27606902521536

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.

249 : 1, 3, 83, 249

621 : 1, 3, 9, 23, 27, 69, 207, 621

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

844 : 1, 2, 4, 211, 422, 844

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,621,312,844,678, is 1.

Now, the common factors can be found like this.

249:3x 83

621:3x 3x 3x 23

312:2x 2x 2x 3x 13

844:2x 2x 211

678:2x 3x 113

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 27606902521536/(1x216)

LCM = 27606902521536/216

LCM = 127809733896

Thus, we can understand that the LCM of 249,621,312,844,678 is 127809733896.

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

• LCM of 743, 730, 427, 624, 322
• LCM of 711, 630, 162, 221, 462
• LCM of 827, 554, 489, 945, 955
• LCM of 437, 459, 363, 423, 338
• LCM of 416, 241, 450, 668, 766

1. What is the LCM of 249, 621, 312, 844, 678?

Answer: LCM of 249, 621, 312, 844, 678 is 127809733896.

2. How to calculate the LCM of 249, 621, 312, 844, 678?

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 249, 621, 312, 844, 678.

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}.