Given numbers are 546,724,604,580,402

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

The LCM of 546,724,604,580,402 is 289948566180.

Find LCM of 546,724,604,580,402 with Prime Factorization

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

2 x 2 x 3 x 91 x 181 x 151 x 145 x 67 = 289948566180

Therefore, the lowest common multiple of 546,724,604,580,402 is 289948566180.

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 724 x 604 x 580 x 402 = 55670124706560

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

724 : 1, 2, 4, 181, 362, 724

604 : 1, 2, 4, 151, 302, 604

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,724,604,580,402, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

724:2x 2x 181

604:2x 2x 151

580:2x 2x 5x 29

402:2x 3x 67

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 55670124706560/(2x96)

LCM = 55670124706560/192

LCM = 289948566180

Thus, we can understand that the LCM of 546,724,604,580,402 is 289948566180.

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

• LCM of 936, 370, 530, 104, 968
• LCM of 424, 400, 110, 800, 724
• LCM of 730, 397, 151, 193, 268
• LCM of 162, 820, 786, 294, 960
• LCM of 806, 617, 855, 500, 629

1. What is the LCM of 546, 724, 604, 580, 402?

Answer: LCM of 546, 724, 604, 580, 402 is 289948566180.

2. How to calculate the LCM of 546, 724, 604, 580, 402?

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, 724, 604, 580, 402.

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}.