Given numbers are 513,701,381,363,156

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

The LCM of 513,701,381,363,156 is 287360994492.

Find LCM of 513,701,381,363,156 with Prime Factorization

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

3 x 171 x 701 x 127 x 121 x 52 = 287360994492

Therefore, the lowest common multiple of 513,701,381,363,156 is 287360994492.

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.

513 x 701 x 381 x 363 x 156 = 7758746851284

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

701 : 1, 701

381 : 1, 3, 127, 381

363 : 1, 3, 11, 33, 121, 363

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,701,381,363,156, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

701:701

381:3x 127

363:3x 11x 11

156:2x 2x 3x 13

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 7758746851284/(1x27)

LCM = 7758746851284/27

LCM = 287360994492

Thus, we can understand that the LCM of 513,701,381,363,156 is 287360994492.

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

• LCM of 307, 713, 476, 531, 119
• LCM of 196, 828, 732, 892, 540
• LCM of 313, 847, 490, 280, 648
• LCM of 171, 672, 247, 812, 762
• LCM of 630, 542, 460, 319, 793

1. What is the LCM of 513, 701, 381, 363, 156?

Answer: LCM of 513, 701, 381, 363, 156 is 287360994492.

2. How to calculate the LCM of 513, 701, 381, 363, 156?

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 513, 701, 381, 363, 156.

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}.