Given numbers are 409,981,312,911,409

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

The LCM of 409,981,312,911,409 is 38014040376.

Find LCM of 409,981,312,911,409 with Prime Factorization

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

3 x 409 x 1 x 327 x 104 x 911 x 1 = 38014040376

Therefore, the lowest common multiple of 409,981,312,911,409 is 38014040376.

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.

409 x 981 x 312 x 911 x 409 = 46643227541352

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.

409 : 1, 409

981 : 1, 3, 9, 109, 327, 981

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

911 : 1, 911

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,981,312,911,409, is 1.

Now, the common factors can be found like this.

409:409

981:3x 3x 109

312:2x 2x 2x 3x 13

911:911

409:409

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

3x 409 = 1227

Therefore, the value for common factors is 1227.

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 = 46643227541352/(1x1227)

LCM = 46643227541352/1227

LCM = 38014040376

Thus, we can understand that the LCM of 409,981,312,911,409 is 38014040376.

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

• LCM of 207, 734, 788, 334, 507
• LCM of 564, 109, 319, 981, 264
• LCM of 515, 445, 561, 872, 655
• LCM of 592, 693, 182, 509, 850
• LCM of 470, 720, 605, 787, 509

1. What is the LCM of 409, 981, 312, 911, 409?

Answer: LCM of 409, 981, 312, 911, 409 is 38014040376.

2. How to calculate the LCM of 409, 981, 312, 911, 409?

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 409, 981, 312, 911, 409.

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}.