Given numbers are 246,396,312,708,546

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

The LCM of 246,396,312,708,546 is 174342168.

Find LCM of 246,396,312,708,546 with Prime Factorization

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

2 x 2 x 3 x 13 x 41 x 33 x 2 x 59 x 7 = 174342168

Therefore, the lowest common multiple of 246,396,312,708,546 is 174342168.

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.

246 x 396 x 312 x 708 x 546 = 11749267385856

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,396,312,708,546, is 6.

Now, the common factors can be found like this.

246:2x 3x 41

396:2x 2x 3x 3x 11

312:2x 2x 2x 3x 13

708:2x 2x 3x 59

546:2x 3x 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 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 11749267385856/(6x11232)

LCM = 11749267385856/67392

LCM = 174342168

Thus, we can understand that the LCM of 246,396,312,708,546 is 174342168.

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

• LCM of 388, 974, 826, 168, 984
• LCM of 892, 837, 347, 245, 134
• LCM of 222, 924, 924, 886, 375
• LCM of 984, 585, 823, 243, 323
• LCM of 909, 636, 324, 447, 623

1. What is the LCM of 246, 396, 312, 708, 546?

Answer: LCM of 246, 396, 312, 708, 546 is 174342168.

2. How to calculate the LCM of 246, 396, 312, 708, 546?

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 246, 396, 312, 708, 546.

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}.