Given numbers are 494,203,986,312,726

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

The LCM of 494,203,986,312,726 is 2475360888.

Find LCM of 494,203,986,312,726 with Prime Factorization

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

2 x 3 x 13 x 29 x 19 x 7 x 17 x 4 x 121 = 2475360888

Therefore, the lowest common multiple of 494,203,986,312,726 is 2475360888.

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.

494 x 203 x 986 x 312 x 726 = 22397065314624

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

203 : 1, 7, 29, 203

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,203,986,312,726, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

203:7x 29

986:2x 17x 29

312:2x 2x 2x 3x 13

726:2x 3x 11x 11

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 3x 13x 29 = 9048

Therefore, the value for common factors is 9048.

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 = 22397065314624/(1x9048)

LCM = 22397065314624/9048

LCM = 2475360888

Thus, we can understand that the LCM of 494,203,986,312,726 is 2475360888.

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

• LCM of 230, 197, 744, 151, 375
• LCM of 557, 243, 810, 882, 640
• LCM of 900, 773, 170, 380, 490
• LCM of 223, 863, 697, 893, 534
• LCM of 469, 541, 552, 144, 568

1. What is the LCM of 494, 203, 986, 312, 726?

Answer: LCM of 494, 203, 986, 312, 726 is 2475360888.

2. How to calculate the LCM of 494, 203, 986, 312, 726?

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 494, 203, 986, 312, 726.

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}.