Given numbers are 680,514,723,756

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

The LCM of 680,514,723,756 is 7960143240.

Find LCM of 680,514,723,756 with Prime Factorization

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

2 x 2 x 3 x 170 x 257 x 241 x 63 = 7960143240

Therefore, the lowest common multiple of 680,514,723,756 is 7960143240.

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.

680 x 514 x 723 x 756 = 191043437760

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.

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

514 : 1, 2, 257, 514

723 : 1, 3, 241, 723

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,514,723,756, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

514:2x 257

723:3x 241

756:2x 2x 3x 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 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 = 191043437760/(1x24)

LCM = 191043437760/24

LCM = 7960143240

Thus, we can understand that the LCM of 680,514,723,756 is 7960143240.

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

• LCM of 100, 458, 672, 216
• LCM of 393, 841, 709, 180
• LCM of 318, 623, 900, 959
• LCM of 559, 330, 763, 600
• LCM of 871, 551, 460, 214

1. What is the LCM of 680, 514, 723, 756?

Answer: LCM of 680, 514, 723, 756 is 7960143240.

2. How to calculate the LCM of 680, 514, 723, 756?

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 680, 514, 723, 756.

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}.