Given numbers are 678,213,306,662

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

The LCM of 678,213,306,662 is 812617578.

Find LCM of 678,213,306,662 with Prime Factorization

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

2 x 3 x 113 x 71 x 51 x 331 = 812617578

Therefore, the lowest common multiple of 678,213,306,662 is 812617578.

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 213 x 306 x 662 = 29254232808

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

213 : 1, 3, 71, 213

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,213,306,662, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

213:3x 71

306:2x 3x 3x 17

662:2x 331

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 29254232808/(1x36)

LCM = 29254232808/36

LCM = 812617578

Thus, we can understand that the LCM of 678,213,306,662 is 812617578.

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

• LCM of 495, 561, 126, 105
• LCM of 880, 606, 928, 179
• LCM of 283, 314, 645, 783
• LCM of 358, 504, 345, 298
• LCM of 871, 334, 626, 674

1. What is the LCM of 678, 213, 306, 662?

Answer: LCM of 678, 213, 306, 662 is 812617578.

2. How to calculate the LCM of 678, 213, 306, 662?

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, 213, 306, 662.

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}.