Given numbers are 390,762,891,496,668

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

The LCM of 390,762,891,496,668 is 609246340560.

Find LCM of 390,762,891,496,668 with Prime Factorization

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

2 x 2 x 3 x 65 x 127 x 297 x 124 x 167 = 609246340560

Therefore, the lowest common multiple of 390,762,891,496,668 is 609246340560.

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 762 x 891 x 496 x 668 = 87731473040640

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,762,891,496,668, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

762:2x 3x 127

891:3x 3x 3x 3x 11

496:2x 2x 2x 2x 31

668:2x 2x 167

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 87731473040640/(1x144)

LCM = 87731473040640/144

LCM = 609246340560

Thus, we can understand that the LCM of 390,762,891,496,668 is 609246340560.

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

• LCM of 390, 972, 529, 139, 963
• LCM of 464, 373, 396, 729, 342
• LCM of 280, 578, 346, 281, 819
• LCM of 478, 260, 640, 469, 344
• LCM of 613, 419, 406, 974, 455

1. What is the LCM of 390, 762, 891, 496, 668?

Answer: LCM of 390, 762, 891, 496, 668 is 609246340560.

2. How to calculate the LCM of 390, 762, 891, 496, 668?

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, 762, 891, 496, 668.

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}.