Given numbers are 293,604,546,324

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

The LCM of 293,604,546,324 is 1304460612.

Find LCM of 293,604,546,324 with Prime Factorization

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

2 x 2 x 3 x 293 x 151 x 91 x 27 = 1304460612

Therefore, the lowest common multiple of 293,604,546,324 is 1304460612.

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.

293 x 604 x 546 x 324 = 31307054688

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.

293 : 1, 293

604 : 1, 2, 4, 151, 302, 604

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,604,546,324, is 1.

Now, the common factors can be found like this.

293:293

604:2x 2x 151

546:2x 3x 7x 13

324:2x 2x 3x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 31307054688/(1x24)

LCM = 31307054688/24

LCM = 1304460612

Thus, we can understand that the LCM of 293,604,546,324 is 1304460612.

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

• LCM of 769, 910, 488, 238
• LCM of 717, 931, 173, 523
• LCM of 818, 558, 416, 404
• LCM of 986, 320, 277, 348
• LCM of 545, 891, 429, 200

1. What is the LCM of 293, 604, 546, 324?

Answer: LCM of 293, 604, 546, 324 is 1304460612.

2. How to calculate the LCM of 293, 604, 546, 324?

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 293, 604, 546, 324.

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}.