Given numbers are 494,201,742,870,798

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

The LCM of 494,201,742,870,798 is 5341520730.

Find LCM of 494,201,742,870,798 with Prime Factorization

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

2 x 3 x 7 x 19 x 13 x 67 x 53 x 145 x 1 = 5341520730

Therefore, the lowest common multiple of 494,201,742,870,798 is 5341520730.

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 201 x 742 x 870 x 798 = 51150402510480

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

201 : 1, 3, 67, 201

742 : 1, 2, 7, 14, 53, 106, 371, 742

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,201,742,870,798, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

201:3x 67

742:2x 7x 53

870:2x 3x 5x 29

798:2x 3x 7x 19

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 3x 7x 19 = 9576

Therefore, the value for common factors is 9576.

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 = 51150402510480/(1x9576)

LCM = 51150402510480/9576

LCM = 5341520730

Thus, we can understand that the LCM of 494,201,742,870,798 is 5341520730.

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

• LCM of 681, 977, 523, 881, 793
• LCM of 908, 200, 547, 875, 529
• LCM of 538, 236, 931, 739, 277
• LCM of 517, 377, 540, 706, 772
• LCM of 739, 454, 973, 294, 546

1. What is the LCM of 494, 201, 742, 870, 798?

Answer: LCM of 494, 201, 742, 870, 798 is 5341520730.

2. How to calculate the LCM of 494, 201, 742, 870, 798?

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, 201, 742, 870, 798.

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}.