Given numbers are 467,390,330,264,181

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

The LCM of 467,390,330,264,181 is 1450483320.

Find LCM of 467,390,330,264,181 with Prime Factorization

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

2 x 3 x 5 x 11 x 467 x 13 x 1 x 4 x 181 = 1450483320

Therefore, the lowest common multiple of 467,390,330,264,181 is 1450483320.

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.

467 x 390 x 330 x 264 x 181 = 2871956973600

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.

467 : 1, 467

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

181 : 1, 181

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,390,330,264,181, is 1.

Now, the common factors can be found like this.

467:467

390:2x 3x 5x 13

330:2x 3x 5x 11

264:2x 2x 2x 3x 11

181:181

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 3x 3x 5x 11 = 1980

Therefore, the value for common factors is 1980.

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 = 2871956973600/(1x1980)

LCM = 2871956973600/1980

LCM = 1450483320

Thus, we can understand that the LCM of 467,390,330,264,181 is 1450483320.

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

• LCM of 307, 301, 680, 260, 920
• LCM of 247, 377, 576, 416, 470
• LCM of 326, 331, 376, 102, 806
• LCM of 720, 107, 446, 302, 443
• LCM of 277, 831, 776, 476, 757

1. What is the LCM of 467, 390, 330, 264, 181?

Answer: LCM of 467, 390, 330, 264, 181 is 1450483320.

2. How to calculate the LCM of 467, 390, 330, 264, 181?

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 467, 390, 330, 264, 181.

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}.