Given numbers are 390,936,690,409

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

The LCM of 390,936,690,409 is 44024760.

Find LCM of 390,936,690,409 with Prime Factorization

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

2 x 3 x 5 x 13 x 1 x 12 x 23 x 409 = 44024760

Therefore, the lowest common multiple of 390,936,690,409 is 44024760.

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.

390 x 936 x 690 x 409 = 103017938400

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,936,690,409, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

936:2x 2x 2x 3x 3x 13

690:2x 3x 5x 23

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.

2x 2x 3x 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 103017938400/(1x2340)

LCM = 103017938400/2340

LCM = 44024760

Thus, we can understand that the LCM of 390,936,690,409 is 44024760.

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

• LCM of 804, 228, 210, 116
• LCM of 950, 158, 457, 350
• LCM of 958, 544, 440, 489
• LCM of 949, 948, 449, 927
• LCM of 782, 646, 355, 451

1. What is the LCM of 390, 936, 690, 409?

Answer: LCM of 390, 936, 690, 409 is 44024760.

2. How to calculate the LCM of 390, 936, 690, 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 390, 936, 690, 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}.