Given numbers are 494,828,754,322,139

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

The LCM of 494,828,754,322,139 is 5770827972.

Find LCM of 494,828,754,322,139 with Prime Factorization

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

2 x 13 x 23 x 19 x 18 x 29 x 7 x 139 = 5770827972

Therefore, the lowest common multiple of 494,828,754,322,139 is 5770827972.

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 828 x 754 x 322 x 139 = 13803820509024

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

754 : 1, 2, 13, 26, 29, 58, 377, 754

322 : 1, 2, 7, 14, 23, 46, 161, 322

139 : 1, 139

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,828,754,322,139, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

828:2x 2x 3x 3x 23

754:2x 13x 29

322:2x 7x 23

139:139

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 13x 23 = 2392

Therefore, the value for common factors is 2392.

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 = 13803820509024/(1x2392)

LCM = 13803820509024/2392

LCM = 5770827972

Thus, we can understand that the LCM of 494,828,754,322,139 is 5770827972.

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

• LCM of 378, 923, 290, 632, 512
• LCM of 143, 429, 383, 658, 840
• LCM of 894, 225, 375, 360, 161
• LCM of 759, 888, 631, 448, 162
• LCM of 590, 160, 792, 403, 716

1. What is the LCM of 494, 828, 754, 322, 139?

Answer: LCM of 494, 828, 754, 322, 139 is 5770827972.

2. How to calculate the LCM of 494, 828, 754, 322, 139?

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, 828, 754, 322, 139.

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}.