Given numbers are 502,404,546,514,730

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

The LCM of 502,404,546,514,730 is 2596831206060.

Find LCM of 502,404,546,514,730 with Prime Factorization

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

2 x 251 x 202 x 273 x 257 x 365 = 2596831206060

Therefore, the lowest common multiple of 502,404,546,514,730 is 2596831206060.

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.

502 x 404 x 546 x 514 x 730 = 41549299296960

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.

502 : 1, 2, 251, 502

404 : 1, 2, 4, 101, 202, 404

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

514 : 1, 2, 257, 514

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,404,546,514,730, is 2.

Now, the common factors can be found like this.

502:2x 251

404:2x 2x 101

546:2x 3x 7x 13

514:2x 257

730:2x 5x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 41549299296960/(2x8)

LCM = 41549299296960/16

LCM = 2596831206060

Thus, we can understand that the LCM of 502,404,546,514,730 is 2596831206060.

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

• LCM of 464, 559, 295, 998, 910
• LCM of 871, 567, 162, 559, 145
• LCM of 292, 362, 581, 602, 484
• LCM of 376, 985, 488, 740, 654
• LCM of 863, 266, 158, 368, 686

1. What is the LCM of 502, 404, 546, 514, 730?

Answer: LCM of 502, 404, 546, 514, 730 is 2596831206060.

2. How to calculate the LCM of 502, 404, 546, 514, 730?

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 502, 404, 546, 514, 730.

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}.