Given numbers are 391,748,238,470,684

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

The LCM of 391,748,238,470,684 is 4839399180.

Find LCM of 391,748,238,470,684 with Prime Factorization

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

2 x 2 x 17 x 23 x 11 x 7 x 235 x 171 = 4839399180

Therefore, the lowest common multiple of 391,748,238,470,684 is 4839399180.

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.

391 x 748 x 238 x 470 x 684 = 22377381808320

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.

391 : 1, 17, 23, 391

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,748,238,470,684, is 1.

Now, the common factors can be found like this.

391:17x 23

748:2x 2x 11x 17

238:2x 7x 17

470:2x 5x 47

684:2x 2x 3x 3x 19

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 2x 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 22377381808320/(1x4624)

LCM = 22377381808320/4624

LCM = 4839399180

Thus, we can understand that the LCM of 391,748,238,470,684 is 4839399180.

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

• LCM of 659, 230, 516, 876, 162
• LCM of 691, 288, 219, 680, 880
• LCM of 900, 624, 862, 710, 528
• LCM of 581, 385, 756, 940, 330
• LCM of 420, 805, 972, 424, 239

1. What is the LCM of 391, 748, 238, 470, 684?

Answer: LCM of 391, 748, 238, 470, 684 is 4839399180.

2. How to calculate the LCM of 391, 748, 238, 470, 684?

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 391, 748, 238, 470, 684.

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}.