Given numbers are 756,381,525,861,717

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

The LCM of 756,381,525,861,717 is 23520539700.

Find LCM of 756,381,525,861,717 with Prime Factorization

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

3 x 7 x 36 x 127 x 25 x 41 x 239 = 23520539700

Therefore, the lowest common multiple of 756,381,525,861,717 is 23520539700.

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 381 x 525 x 861 x 717 = 93353022069300

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

381 : 1, 3, 127, 381

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

861 : 1, 3, 7, 21, 41, 123, 287, 861

717 : 1, 3, 239, 717

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,381,525,861,717, is 3.

Now, the common factors can be found like this.

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

381:3x 127

525:3x 5x 5x 7

861:3x 7x 41

717:3x 239

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

3x 3x 3x 7x 7 = 1323

Therefore, the value for common factors is 1323.

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 = 93353022069300/(3x1323)

LCM = 93353022069300/3969

LCM = 23520539700

Thus, we can understand that the LCM of 756,381,525,861,717 is 23520539700.

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

• LCM of 711, 984, 230, 196, 740
• LCM of 247, 957, 820, 940, 381
• LCM of 344, 868, 753, 329, 159
• LCM of 171, 669, 729, 147, 848
• LCM of 854, 377, 834, 922, 145

1. What is the LCM of 756, 381, 525, 861, 717?

Answer: LCM of 756, 381, 525, 861, 717 is 23520539700.

2. How to calculate the LCM of 756, 381, 525, 861, 717?

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, 381, 525, 861, 717.

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}.