Given numbers are 678,314,218,310

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

The LCM of 678,314,218,310 is 1798405170.

Find LCM of 678,314,218,310 with Prime Factorization

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

2 x 339 x 157 x 109 x 155 = 1798405170

Therefore, the lowest common multiple of 678,314,218,310 is 1798405170.

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 314 x 218 x 310 = 14387241360

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

314 : 1, 2, 157, 314

218 : 1, 2, 109, 218

310 : 1, 2, 5, 10, 31, 62, 155, 310

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,314,218,310, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

314:2x 157

218:2x 109

310:2x 5x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14387241360/(2x4)

LCM = 14387241360/8

LCM = 1798405170

Thus, we can understand that the LCM of 678,314,218,310 is 1798405170.

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

• LCM of 532, 943, 824, 538
• LCM of 601, 369, 805, 635
• LCM of 757, 624, 720, 695
• LCM of 454, 993, 872, 180
• LCM of 829, 161, 344, 537

1. What is the LCM of 678, 314, 218, 310?

Answer: LCM of 678, 314, 218, 310 is 1798405170.

2. How to calculate the LCM of 678, 314, 218, 310?

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, 314, 218, 310.

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}.