Given numbers are 862,624,814,413

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

The LCM of 862,624,814,413 is 45207065904.

Find LCM of 862,624,814,413 with Prime Factorization

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

2 x 431 x 312 x 407 x 413 = 45207065904

Therefore, the lowest common multiple of 862,624,814,413 is 45207065904.

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.

862 x 624 x 814 x 413 = 180828263616

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.

862 : 1, 2, 431, 862

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,624,814,413, is 1.

Now, the common factors can be found like this.

862:2x 431

624:2x 2x 2x 2x 3x 13

814:2x 11x 37

413:7x 59

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 = 180828263616/(1x4)

LCM = 180828263616/4

LCM = 45207065904

Thus, we can understand that the LCM of 862,624,814,413 is 45207065904.

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

• LCM of 320, 937, 691, 831
• LCM of 619, 778, 415, 315
• LCM of 686, 986, 325, 382
• LCM of 406, 203, 682, 398
• LCM of 728, 280, 774, 329

1. What is the LCM of 862, 624, 814, 413?

Answer: LCM of 862, 624, 814, 413 is 45207065904.

2. How to calculate the LCM of 862, 624, 814, 413?

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 862, 624, 814, 413.

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}.