Given numbers are 546,346,288

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

The LCM of 546,346,288 is 4533984.

Find LCM of 546,346,288 with Prime Factorization

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

2 x 3 x 91 x 173 x 48 = 4533984

Therefore, the lowest common multiple of 546,346,288 is 4533984.

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.

546 x 346 x 288 = 54407808

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.

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

346 : 1, 2, 173, 346

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,346,288, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

346:2x 173

288:2x 2x 2x 2x 2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 54407808/(2x6)

LCM = 54407808/12

LCM = 4533984

Thus, we can understand that the LCM of 546,346,288 is 4533984.

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

• LCM of 712, 560, 279
• LCM of 350, 568, 376
• LCM of 418, 822, 494
• LCM of 416, 995, 289
• LCM of 448, 743, 232

1. What is the LCM of 546, 346, 288?

Answer: LCM of 546, 346, 288 is 4533984.

2. How to calculate the LCM of 546, 346, 288?

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 546, 346, 288.

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}.