Given numbers are 756,840,876,609

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

The LCM of 756,840,876,609 is 16004520.

Find LCM of 756,840,876,609 with Prime Factorization

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

2 x 2 x 3 x 7 x 9 x 10 x 73 x 29 = 16004520

Therefore, the lowest common multiple of 756,840,876,609 is 16004520.

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.

756 x 840 x 876 x 609 = 338783679360

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

609 : 1, 3, 7, 21, 29, 87, 203, 609

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,840,876,609, is 3.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

840:2x 2x 2x 3x 5x 7

876:2x 2x 3x 73

609:3x 7x 29

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 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 338783679360/(3x7056)

LCM = 338783679360/21168

LCM = 16004520

Thus, we can understand that the LCM of 756,840,876,609 is 16004520.

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

• LCM of 683, 105, 625, 515
• LCM of 208, 712, 533, 525
• LCM of 937, 921, 150, 243
• LCM of 709, 561, 518, 892
• LCM of 190, 795, 125, 828

1. What is the LCM of 756, 840, 876, 609?

Answer: LCM of 756, 840, 876, 609 is 16004520.

2. How to calculate the LCM of 756, 840, 876, 609?

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 756, 840, 876, 609.

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}.