Given numbers are 418,476,893,826,840

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

The LCM of 418,476,893,826,840 is 8276073960.

Find LCM of 418,476,893,826,840 with Prime Factorization

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

2 x 2 x 7 x 19 x 11 x 17 x 47 x 59 x 30 = 8276073960

Therefore, the lowest common multiple of 418,476,893,826,840 is 8276073960.

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.

418 x 476 x 893 x 826 x 840 = 123280397708160

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

893 : 1, 19, 47, 893

826 : 1, 2, 7, 14, 59, 118, 413, 826

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,476,893,826,840, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

476:2x 2x 7x 17

893:19x 47

826:2x 7x 59

840:2x 2x 2x 3x 5x 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 2x 7x 7x 19 = 14896

Therefore, the value for common factors is 14896.

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 = 123280397708160/(1x14896)

LCM = 123280397708160/14896

LCM = 8276073960

Thus, we can understand that the LCM of 418,476,893,826,840 is 8276073960.

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

• LCM of 495, 474, 426, 569, 531
• LCM of 641, 726, 682, 545, 388
• LCM of 799, 838, 357, 995, 637
• LCM of 147, 277, 747, 101, 203
• LCM of 118, 568, 613, 488, 967

1. What is the LCM of 418, 476, 893, 826, 840?

Answer: LCM of 418, 476, 893, 826, 840 is 8276073960.

2. How to calculate the LCM of 418, 476, 893, 826, 840?

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 418, 476, 893, 826, 840.

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}.