Given numbers are 195,137,312,519,291

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

The LCM of 195,137,312,519,291 is 3586435320.

Find LCM of 195,137,312,519,291 with Prime Factorization

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

3 x 13 x 5 x 137 x 8 x 173 x 97 = 3586435320

Therefore, the lowest common multiple of 195,137,312,519,291 is 3586435320.

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.

195 x 137 x 312 x 519 x 291 = 1258838797320

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

137 : 1, 137

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

519 : 1, 3, 173, 519

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,137,312,519,291, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

137:137

312:2x 2x 2x 3x 13

519:3x 173

291:3x 97

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 3x 13 = 351

Therefore, the value for common factors is 351.

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 = 1258838797320/(1x351)

LCM = 1258838797320/351

LCM = 3586435320

Thus, we can understand that the LCM of 195,137,312,519,291 is 3586435320.

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

• LCM of 358, 425, 716, 540, 565
• LCM of 474, 449, 522, 888, 733
• LCM of 317, 620, 808, 948, 544
• LCM of 493, 163, 605, 771, 847
• LCM of 956, 965, 828, 594, 365

1. What is the LCM of 195, 137, 312, 519, 291?

Answer: LCM of 195, 137, 312, 519, 291 is 3586435320.

2. How to calculate the LCM of 195, 137, 312, 519, 291?

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 195, 137, 312, 519, 291.

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}.