Given numbers are 268,970,215,470

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

The LCM of 268,970,215,470 is 262689580.

Find LCM of 268,970,215,470 with Prime Factorization

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

2 x 5 x 134 x 97 x 43 x 47 = 262689580

Therefore, the lowest common multiple of 268,970,215,470 is 262689580.

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.

268 x 970 x 215 x 470 = 26268958000

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.

268 : 1, 2, 4, 67, 134, 268

970 : 1, 2, 5, 10, 97, 194, 485, 970

215 : 1, 5, 43, 215

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,970,215,470, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

970:2x 5x 97

215:5x 43

470:2x 5x 47

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 26268958000/(1x100)

LCM = 26268958000/100

LCM = 262689580

Thus, we can understand that the LCM of 268,970,215,470 is 262689580.

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

• LCM of 654, 870, 801, 400
• LCM of 451, 827, 864, 476
• LCM of 333, 514, 462, 766
• LCM of 992, 489, 360, 501
• LCM of 221, 402, 486, 843

1. What is the LCM of 268, 970, 215, 470?

Answer: LCM of 268, 970, 215, 470 is 262689580.

2. How to calculate the LCM of 268, 970, 215, 470?

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 268, 970, 215, 470.

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}.