Given numbers are 670,240,596,195,471

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

The LCM of 670,240,596,195,471 is 4890072720.

Find LCM of 670,240,596,195,471 with Prime Factorization

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

2 x 2 x 3 x 5 x 67 x 4 x 149 x 13 x 157 = 4890072720

Therefore, the lowest common multiple of 670,240,596,195,471 is 4890072720.

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.

670 x 240 x 596 x 195 x 471 = 8802130896000

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.

670 : 1, 2, 5, 10, 67, 134, 335, 670

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

596 : 1, 2, 4, 149, 298, 596

195 : 1, 3, 5, 13, 15, 39, 65, 195

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,240,596,195,471, is 1.

Now, the common factors can be found like this.

670:2x 5x 67

240:2x 2x 2x 2x 3x 5

596:2x 2x 149

195:3x 5x 13

471:3x 157

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 8802130896000/(1x1800)

LCM = 8802130896000/1800

LCM = 4890072720

Thus, we can understand that the LCM of 670,240,596,195,471 is 4890072720.

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

• LCM of 492, 396, 509, 816, 241
• LCM of 345, 952, 920, 353, 286
• LCM of 617, 758, 435, 106, 108
• LCM of 283, 360, 903, 118, 670
• LCM of 663, 250, 365, 317, 236

1. What is the LCM of 670, 240, 596, 195, 471?

Answer: LCM of 670, 240, 596, 195, 471 is 4890072720.

2. How to calculate the LCM of 670, 240, 596, 195, 471?

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 670, 240, 596, 195, 471.

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}.