Given numbers are 753,642,687,504

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

The LCM of 753,642,687,504 is 3099727512.

Find LCM of 753,642,687,504 with Prime Factorization

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

2 x 3 x 251 x 107 x 229 x 84 = 3099727512

Therefore, the lowest common multiple of 753,642,687,504 is 3099727512.

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.

753 x 642 x 687 x 504 = 167385285648

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.

753 : 1, 3, 251, 753

642 : 1, 2, 3, 6, 107, 214, 321, 642

687 : 1, 3, 229, 687

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,642,687,504, is 3.

Now, the common factors can be found like this.

753:3x 251

642:2x 3x 107

687:3x 229

504:2x 2x 2x 3x 3x 7

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 167385285648/(3x18)

LCM = 167385285648/54

LCM = 3099727512

Thus, we can understand that the LCM of 753,642,687,504 is 3099727512.

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

• LCM of 434, 911, 758, 109
• LCM of 308, 309, 101, 626
• LCM of 193, 172, 532, 877
• LCM of 993, 654, 950, 926
• LCM of 970, 573, 260, 506

1. What is the LCM of 753, 642, 687, 504?

Answer: LCM of 753, 642, 687, 504 is 3099727512.

2. How to calculate the LCM of 753, 642, 687, 504?

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 753, 642, 687, 504.

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}.