Given numbers are 126,792,409,445,714

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

The LCM of 126,792,409,445,714 is 17153607240.

Find LCM of 126,792,409,445,714 with Prime Factorization

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

2 x 3 x 3 x 7 x 1 x 44 x 409 x 445 x 17 = 17153607240

Therefore, the lowest common multiple of 126,792,409,445,714 is 17153607240.

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 792 x 409 x 445 x 714 = 12968127073440

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

409 : 1, 409

445 : 1, 5, 89, 445

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,792,409,445,714, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

792:2x 2x 2x 3x 3x 11

409:409

445:5x 89

714:2x 3x 7x 17

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 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 12968127073440/(1x756)

LCM = 12968127073440/756

LCM = 17153607240

Thus, we can understand that the LCM of 126,792,409,445,714 is 17153607240.

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

• LCM of 757, 748, 578, 409, 531
• LCM of 944, 970, 132, 526, 983
• LCM of 531, 765, 446, 453, 914
• LCM of 270, 143, 972, 812, 874
• LCM of 864, 646, 850, 587, 124

1. What is the LCM of 126, 792, 409, 445, 714?

Answer: LCM of 126, 792, 409, 445, 714 is 17153607240.

2. How to calculate the LCM of 126, 792, 409, 445, 714?

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, 792, 409, 445, 714.

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}.