Given numbers are 470,208,238,792

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

The LCM of 470,208,238,792 is 575855280.

Find LCM of 470,208,238,792 with Prime Factorization

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

2 x 2 x 2 x 235 x 26 x 119 x 99 = 575855280

Therefore, the lowest common multiple of 470,208,238,792 is 575855280.

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 208 x 238 x 792 = 18427368960

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

238 : 1, 2, 7, 14, 17, 34, 119, 238

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,208,238,792, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

208:2x 2x 2x 2x 13

238:2x 7x 17

792:2x 2x 2x 3x 3x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 18427368960/(2x16)

LCM = 18427368960/32

LCM = 575855280

Thus, we can understand that the LCM of 470,208,238,792 is 575855280.

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

• LCM of 263, 810, 637, 261
• LCM of 493, 796, 495, 780
• LCM of 392, 433, 151, 786
• LCM of 141, 607, 298, 225
• LCM of 412, 986, 362, 384

1. What is the LCM of 470, 208, 238, 792?

Answer: LCM of 470, 208, 238, 792 is 575855280.

2. How to calculate the LCM of 470, 208, 238, 792?

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, 208, 238, 792.

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}.