Given numbers are 408,944,326,680

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

The LCM of 408,944,326,680 is 39237360.

Find LCM of 408,944,326,680 with Prime Factorization

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

2 x 2 x 2 x 17 x 3 x 118 x 163 x 5 = 39237360

Therefore, the lowest common multiple of 408,944,326,680 is 39237360.

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.

408 x 944 x 326 x 680 = 85380495360

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

326 : 1, 2, 163, 326

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,944,326,680, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

944:2x 2x 2x 2x 59

326:2x 163

680:2x 2x 2x 5x 17

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 2x 2x 17 = 1088

Therefore, the value for common factors is 1088.

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 = 85380495360/(2x1088)

LCM = 85380495360/2176

LCM = 39237360

Thus, we can understand that the LCM of 408,944,326,680 is 39237360.

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

• LCM of 717, 660, 715, 209
• LCM of 190, 653, 179, 140
• LCM of 570, 606, 119, 931
• LCM of 976, 806, 854, 669
• LCM of 185, 616, 105, 685

1. What is the LCM of 408, 944, 326, 680?

Answer: LCM of 408, 944, 326, 680 is 39237360.

2. How to calculate the LCM of 408, 944, 326, 680?

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 408, 944, 326, 680.

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}.