Given numbers are 470,724,209,398

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

The LCM of 470,724,209,398 is 7076292740.

Find LCM of 470,724,209,398 with Prime Factorization

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

2 x 235 x 362 x 209 x 199 = 7076292740

Therefore, the lowest common multiple of 470,724,209,398 is 7076292740.

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 724 x 209 x 398 = 28305170960

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

724 : 1, 2, 4, 181, 362, 724

209 : 1, 11, 19, 209

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,724,209,398, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

724:2x 2x 181

209:11x 19

398:2x 199

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28305170960/(1x4)

LCM = 28305170960/4

LCM = 7076292740

Thus, we can understand that the LCM of 470,724,209,398 is 7076292740.

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

• LCM of 269, 792, 944, 737
• LCM of 448, 727, 649, 555
• LCM of 258, 799, 854, 144
• LCM of 587, 572, 340, 344
• LCM of 241, 907, 712, 418

1. What is the LCM of 470, 724, 209, 398?

Answer: LCM of 470, 724, 209, 398 is 7076292740.

2. How to calculate the LCM of 470, 724, 209, 398?

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, 724, 209, 398.

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}.