Given numbers are 830,290,756,701,814

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

The LCM of 830,290,756,701,814 is 2595854327220.

Find LCM of 830,290,756,701,814 with Prime Factorization

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

2 x 5 x 83 x 29 x 378 x 701 x 407 = 2595854327220

Therefore, the lowest common multiple of 830,290,756,701,814 is 2595854327220.

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.

830 x 290 x 756 x 701 x 814 = 103834173088800

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

701 : 1, 701

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,290,756,701,814, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

290:2x 5x 29

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

701:701

814:2x 11x 37

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 5 = 40

Therefore, the value for common factors is 40.

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 = 103834173088800/(1x40)

LCM = 103834173088800/40

LCM = 2595854327220

Thus, we can understand that the LCM of 830,290,756,701,814 is 2595854327220.

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

• LCM of 677, 509, 405, 949, 444
• LCM of 909, 357, 814, 953, 770
• LCM of 262, 960, 772, 572, 806
• LCM of 209, 842, 606, 560, 226
• LCM of 801, 704, 981, 856, 452

1. What is the LCM of 830, 290, 756, 701, 814?

Answer: LCM of 830, 290, 756, 701, 814 is 2595854327220.

2. How to calculate the LCM of 830, 290, 756, 701, 814?

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 830, 290, 756, 701, 814.

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}.