Given numbers are 126,808,420,366,546

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

The LCM of 126,808,420,366,546 is 201834360.

Find LCM of 126,808,420,366,546 with Prime Factorization

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

2 x 2 x 3 x 7 x 3 x 202 x 5 x 61 x 13 = 201834360

Therefore, the lowest common multiple of 126,808,420,366,546 is 201834360.

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.

126 x 808 x 420 x 366 x 546 = 8544859464960

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

808 : 1, 2, 4, 8, 101, 202, 404, 808

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

366 : 1, 2, 3, 6, 61, 122, 183, 366

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,808,420,366,546, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

808:2x 2x 2x 101

420:2x 2x 3x 5x 7

366:2x 3x 61

546:2x 3x 7x 13

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 3x 3x 3x 7x 7 = 21168

Therefore, the value for common factors is 21168.

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 = 8544859464960/(2x21168)

LCM = 8544859464960/42336

LCM = 201834360

Thus, we can understand that the LCM of 126,808,420,366,546 is 201834360.

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

• LCM of 518, 136, 997, 404, 775
• LCM of 914, 441, 155, 723, 406
• LCM of 897, 628, 996, 189, 795
• LCM of 989, 604, 648, 490, 568
• LCM of 418, 893, 290, 236, 428

1. What is the LCM of 126, 808, 420, 366, 546?

Answer: LCM of 126, 808, 420, 366, 546 is 201834360.

2. How to calculate the LCM of 126, 808, 420, 366, 546?

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 126, 808, 420, 366, 546.

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}.