Given numbers are 546,448,350,383,406

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

The LCM of 546,448,350,383,406 is 4851537600.

Find LCM of 546,448,350,383,406 with Prime Factorization

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

2 x 7 x 39 x 32 x 25 x 383 x 29 = 4851537600

Therefore, the lowest common multiple of 546,448,350,383,406 is 4851537600.

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 448 x 350 x 383 x 406 = 13312619174400

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

383 : 1, 383

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,448,350,383,406, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

448:2x 2x 2x 2x 2x 2x 7

350:2x 5x 5x 7

383:383

406:2x 7x 29

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 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 13312619174400/(1x2744)

LCM = 13312619174400/2744

LCM = 4851537600

Thus, we can understand that the LCM of 546,448,350,383,406 is 4851537600.

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

• LCM of 191, 690, 219, 166, 431
• LCM of 996, 722, 566, 755, 706
• LCM of 880, 940, 701, 672, 553
• LCM of 570, 693, 344, 170, 868
• LCM of 452, 835, 381, 932, 244

1. What is the LCM of 546, 448, 350, 383, 406?

Answer: LCM of 546, 448, 350, 383, 406 is 4851537600.

2. How to calculate the LCM of 546, 448, 350, 383, 406?

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, 448, 350, 383, 406.

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}.