Given numbers are 726,891,988,728,374

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

The LCM of 726,891,988,728,374 is 2304646344.

Find LCM of 726,891,988,728,374 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 11 x 27 x 19 x 14 x 17 = 2304646344

Therefore, the lowest common multiple of 726,891,988,728,374 is 2304646344.

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.

726 x 891 x 988 x 728 x 374 = 174010017557376

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,891,988,728,374, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

891:3x 3x 3x 3x 11

988:2x 2x 13x 19

728:2x 2x 2x 7x 13

374:2x 11x 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 2x 2x 3x 11x 11x 13 = 75504

Therefore, the value for common factors is 75504.

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 = 174010017557376/(1x75504)

LCM = 174010017557376/75504

LCM = 2304646344

Thus, we can understand that the LCM of 726,891,988,728,374 is 2304646344.

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

• LCM of 791, 166, 288, 378, 217
• LCM of 184, 114, 792, 911, 971
• LCM of 680, 181, 321, 569, 636
• LCM of 382, 728, 207, 954, 560
• LCM of 230, 890, 170, 167, 271

1. What is the LCM of 726, 891, 988, 728, 374?

Answer: LCM of 726, 891, 988, 728, 374 is 2304646344.

2. How to calculate the LCM of 726, 891, 988, 728, 374?

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 726, 891, 988, 728, 374.

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}.