Given numbers are 546,638,735,720,990

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

The LCM of 546,638,735,720,990 is 146306160.

Find LCM of 546,638,735,720,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 7 x 11 x 13 x 29 x 7 x 8 x 1 = 146306160

Therefore, the lowest common multiple of 546,638,735,720,990 is 146306160.

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 638 x 735 x 720 x 990 = 182502303984000

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,638,735,720,990, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

638:2x 11x 29

735:3x 5x 7x 7

720:2x 2x 2x 2x 3x 3x 5

990:2x 3x 3x 5x 11

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 3x 3x 3x 3x 5x 5x 7x 11 = 1247400

Therefore, the value for common factors is 1247400.

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 = 182502303984000/(1x1247400)

LCM = 182502303984000/1247400

LCM = 146306160

Thus, we can understand that the LCM of 546,638,735,720,990 is 146306160.

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

• LCM of 898, 392, 832, 495, 350
• LCM of 402, 938, 738, 410, 217
• LCM of 357, 216, 442, 627, 792
• LCM of 612, 560, 100, 220, 761
• LCM of 466, 978, 349, 549, 618

1. What is the LCM of 546, 638, 735, 720, 990?

Answer: LCM of 546, 638, 735, 720, 990 is 146306160.

2. How to calculate the LCM of 546, 638, 735, 720, 990?

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, 638, 735, 720, 990.

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}.