Given numbers are 756,612,104,682,710

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

The LCM of 756,612,104,682,710 is 40450770360.

Find LCM of 756,612,104,682,710 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 17 x 26 x 341 x 355 = 40450770360

Therefore, the lowest common multiple of 756,612,104,682,710 is 40450770360.

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 612 x 104 x 682 x 710 = 23299643727360

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

104 : 1, 2, 4, 8, 13, 26, 52, 104

682 : 1, 2, 11, 22, 31, 62, 341, 682

710 : 1, 2, 5, 10, 71, 142, 355, 710

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,612,104,682,710, is 2.

Now, the common factors can be found like this.

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

612:2x 2x 3x 3x 17

104:2x 2x 2x 13

682:2x 11x 31

710:2x 5x 71

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 23299643727360/(2x288)

LCM = 23299643727360/576

LCM = 40450770360

Thus, we can understand that the LCM of 756,612,104,682,710 is 40450770360.

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

• LCM of 537, 655, 896, 699, 946
• LCM of 776, 386, 616, 694, 410
• LCM of 126, 133, 601, 723, 988
• LCM of 968, 113, 347, 290, 983
• LCM of 953, 556, 396, 528, 793

1. What is the LCM of 756, 612, 104, 682, 710?

Answer: LCM of 756, 612, 104, 682, 710 is 40450770360.

2. How to calculate the LCM of 756, 612, 104, 682, 710?

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, 612, 104, 682, 710.

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}.