Given numbers are 312,416,498,351,182

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

The LCM of 312,416,498,351,182 is 6525792.

Find LCM of 312,416,498,351,182 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 4 x 83 x 9 x 7 = 6525792

Therefore, the lowest common multiple of 312,416,498,351,182 is 6525792.

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.

312 x 416 x 498 x 351 x 182 = 4129103526912

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

498 : 1, 2, 3, 6, 83, 166, 249, 498

351 : 1, 3, 9, 13, 27, 39, 117, 351

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,416,498,351,182, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

416:2x 2x 2x 2x 2x 13

498:2x 3x 83

351:3x 3x 3x 13

182:2x 7x 13

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 2x 2x 3x 3x 13x 13x 13 = 632736

Therefore, the value for common factors is 632736.

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 = 4129103526912/(1x632736)

LCM = 4129103526912/632736

LCM = 6525792

Thus, we can understand that the LCM of 312,416,498,351,182 is 6525792.

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

• LCM of 656, 276, 980, 820, 311
• LCM of 838, 514, 749, 754, 244
• LCM of 302, 132, 232, 763, 711
• LCM of 775, 123, 222, 606, 357
• LCM of 118, 144, 104, 753, 590

1. What is the LCM of 312, 416, 498, 351, 182?

Answer: LCM of 312, 416, 498, 351, 182 is 6525792.

2. How to calculate the LCM of 312, 416, 498, 351, 182?

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 312, 416, 498, 351, 182.

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}.