Given numbers are 422,390,506,774

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

The LCM of 422,390,506,774 is 2685698730.

Find LCM of 422,390,506,774 with Prime Factorization

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

2 x 3 x 211 x 65 x 253 x 129 = 2685698730

Therefore, the lowest common multiple of 422,390,506,774 is 2685698730.

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.

422 x 390 x 506 x 774 = 64456769520

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.

422 : 1, 2, 211, 422

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,390,506,774, is 2.

Now, the common factors can be found like this.

422:2x 211

390:2x 3x 5x 13

506:2x 11x 23

774:2x 3x 3x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 64456769520/(2x12)

LCM = 64456769520/24

LCM = 2685698730

Thus, we can understand that the LCM of 422,390,506,774 is 2685698730.

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

• LCM of 847, 719, 679, 418
• LCM of 941, 613, 662, 513
• LCM of 338, 762, 905, 302
• LCM of 261, 554, 883, 918
• LCM of 499, 312, 555, 700

1. What is the LCM of 422, 390, 506, 774?

Answer: LCM of 422, 390, 506, 774 is 2685698730.

2. How to calculate the LCM of 422, 390, 506, 774?

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 422, 390, 506, 774.

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}.