Given numbers are 814,596,283,874

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

The LCM of 814,596,283,874 is 29999121812.

Find LCM of 814,596,283,874 with Prime Factorization

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

2 x 407 x 298 x 283 x 437 = 29999121812

Therefore, the lowest common multiple of 814,596,283,874 is 29999121812.

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.

814 x 596 x 283 x 874 = 119996487248

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.

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

596 : 1, 2, 4, 149, 298, 596

283 : 1, 283

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,596,283,874, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

596:2x 2x 149

283:283

874:2x 19x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 119996487248/(1x4)

LCM = 119996487248/4

LCM = 29999121812

Thus, we can understand that the LCM of 814,596,283,874 is 29999121812.

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

• LCM of 689, 627, 265, 577
• LCM of 987, 863, 256, 503
• LCM of 111, 674, 370, 118
• LCM of 528, 385, 696, 625
• LCM of 164, 326, 142, 499

1. What is the LCM of 814, 596, 283, 874?

Answer: LCM of 814, 596, 283, 874 is 29999121812.

2. How to calculate the LCM of 814, 596, 283, 874?

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 814, 596, 283, 874.

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}.