Given numbers are 723,614,756,680

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

The LCM of 723,614,756,680 is 9508809240.

Find LCM of 723,614,756,680 with Prime Factorization

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

2 x 2 x 3 x 241 x 307 x 63 x 170 = 9508809240

Therefore, the lowest common multiple of 723,614,756,680 is 9508809240.

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.

723 x 614 x 756 x 680 = 228211421760

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.

723 : 1, 3, 241, 723

614 : 1, 2, 307, 614

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,614,756,680, is 1.

Now, the common factors can be found like this.

723:3x 241

614:2x 307

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

680:2x 2x 2x 5x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 228211421760/(1x24)

LCM = 228211421760/24

LCM = 9508809240

Thus, we can understand that the LCM of 723,614,756,680 is 9508809240.

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

• LCM of 683, 833, 156, 362
• LCM of 358, 178, 385, 723
• LCM of 873, 348, 418, 835
• LCM of 111, 650, 907, 179
• LCM of 902, 648, 885, 656

1. What is the LCM of 723, 614, 756, 680?

Answer: LCM of 723, 614, 756, 680 is 9508809240.

2. How to calculate the LCM of 723, 614, 756, 680?

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 723, 614, 756, 680.

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}.