Given numbers are 319,409,205,372,164

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

The LCM of 319,409,205,372,164 is 9949718460.

Find LCM of 319,409,205,372,164 with Prime Factorization

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

2 x 2 x 41 x 319 x 409 x 5 x 93 x 1 = 9949718460

Therefore, the lowest common multiple of 319,409,205,372,164 is 9949718460.

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.

319 x 409 x 205 x 372 x 164 = 1631753827440

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.

319 : 1, 11, 29, 319

409 : 1, 409

205 : 1, 5, 41, 205

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,409,205,372,164, is 1.

Now, the common factors can be found like this.

319:11x 29

409:409

205:5x 41

372:2x 2x 3x 31

164:2x 2x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 1631753827440/(1x164)

LCM = 1631753827440/164

LCM = 9949718460

Thus, we can understand that the LCM of 319,409,205,372,164 is 9949718460.

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

• LCM of 259, 933, 478, 344, 355
• LCM of 913, 525, 940, 813, 150
• LCM of 938, 620, 405, 546, 456
• LCM of 763, 533, 811, 251, 260
• LCM of 115, 676, 742, 581, 902

1. What is the LCM of 319, 409, 205, 372, 164?

Answer: LCM of 319, 409, 205, 372, 164 is 9949718460.

2. How to calculate the LCM of 319, 409, 205, 372, 164?

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 319, 409, 205, 372, 164.

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}.