Given numbers are 470,688,129,617

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

The LCM of 470,688,129,617 is 299269680.

Find LCM of 470,688,129,617 with Prime Factorization

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

2 x 43 x 235 x 8 x 3 x 617 = 299269680

Therefore, the lowest common multiple of 470,688,129,617 is 299269680.

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.

470 x 688 x 129 x 617 = 25737192480

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.

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

129 : 1, 3, 43, 129

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,688,129,617, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

688:2x 2x 2x 2x 43

129:3x 43

617:617

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

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 25737192480/(1x86)

LCM = 25737192480/86

LCM = 299269680

Thus, we can understand that the LCM of 470,688,129,617 is 299269680.

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

• LCM of 174, 705, 208, 802
• LCM of 700, 292, 275, 371
• LCM of 937, 237, 312, 387
• LCM of 733, 331, 665, 841
• LCM of 354, 514, 284, 218

1. What is the LCM of 470, 688, 129, 617?

Answer: LCM of 470, 688, 129, 617 is 299269680.

2. How to calculate the LCM of 470, 688, 129, 617?

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 470, 688, 129, 617.

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}.