Given numbers are 546,832,449,963,920

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

The LCM of 546,832,449,963,920 is 289595517120.

Find LCM of 546,832,449,963,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 7 x 8 x 449 x 321 x 115 = 289595517120

Therefore, the lowest common multiple of 546,832,449,963,920 is 289595517120.

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 832 x 449 x 963 x 920 = 180707602682880

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

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

449 : 1, 449

963 : 1, 3, 9, 107, 321, 963

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,832,449,963,920, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

832:2x 2x 2x 2x 2x 2x 13

449:449

963:3x 3x 107

920:2x 2x 2x 5x 23

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 180707602682880/(1x624)

LCM = 180707602682880/624

LCM = 289595517120

Thus, we can understand that the LCM of 546,832,449,963,920 is 289595517120.

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

• LCM of 689, 963, 947, 400, 144
• LCM of 959, 217, 773, 784, 519
• LCM of 822, 480, 116, 850, 144
• LCM of 165, 303, 197, 853, 871
• LCM of 944, 848, 349, 382, 978

1. What is the LCM of 546, 832, 449, 963, 920?

Answer: LCM of 546, 832, 449, 963, 920 is 289595517120.

2. How to calculate the LCM of 546, 832, 449, 963, 920?

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, 832, 449, 963, 920.

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}.