Given numbers are 678,312,566,293

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

The LCM of 678,312,566,293 is 2923392264.

Find LCM of 678,312,566,293 with Prime Factorization

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

2 x 3 x 113 x 52 x 283 x 293 = 2923392264

Therefore, the lowest common multiple of 678,312,566,293 is 2923392264.

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.

678 x 312 x 566 x 293 = 35080707168

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.

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

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

566 : 1, 2, 283, 566

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,312,566,293, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

312:2x 2x 2x 3x 13

566:2x 283

293:293

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 3 = 12

Therefore, the value for common factors is 12.

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 = 35080707168/(1x12)

LCM = 35080707168/12

LCM = 2923392264

Thus, we can understand that the LCM of 678,312,566,293 is 2923392264.

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

• LCM of 641, 312, 690, 702
• LCM of 574, 679, 592, 221
• LCM of 577, 390, 392, 175
• LCM of 815, 763, 357, 382
• LCM of 373, 599, 515, 867

1. What is the LCM of 678, 312, 566, 293?

Answer: LCM of 678, 312, 566, 293 is 2923392264.

2. How to calculate the LCM of 678, 312, 566, 293?

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 678, 312, 566, 293.

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}.