Given numbers are 322,420,543,723,546

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

The LCM of 322,420,543,723,546 is 5477925180.

Find LCM of 322,420,543,723,546 with Prime Factorization

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

2 x 3 x 7 x 23 x 10 x 181 x 241 x 13 = 5477925180

Therefore, the lowest common multiple of 322,420,543,723,546 is 5477925180.

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.

322 x 420 x 543 x 723 x 546 = 28989180052560

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

543 : 1, 3, 181, 543

723 : 1, 3, 241, 723

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,420,543,723,546, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

420:2x 2x 3x 5x 7

543:3x 181

723:3x 241

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 3x 3x 3x 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 28989180052560/(1x5292)

LCM = 28989180052560/5292

LCM = 5477925180

Thus, we can understand that the LCM of 322,420,543,723,546 is 5477925180.

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

• LCM of 271, 517, 575, 702, 399
• LCM of 386, 672, 333, 913, 262
• LCM of 575, 843, 484, 393, 211
• LCM of 135, 863, 413, 701, 878
• LCM of 193, 428, 523, 810, 697

1. What is the LCM of 322, 420, 543, 723, 546?

Answer: LCM of 322, 420, 543, 723, 546 is 5477925180.

2. How to calculate the LCM of 322, 420, 543, 723, 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 322, 420, 543, 723, 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}.