Given numbers are 546,217,724,337

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

The LCM of 546,217,724,337 is 2064870444.

Find LCM of 546,217,724,337 with Prime Factorization

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

2 x 7 x 39 x 31 x 362 x 337 = 2064870444

Therefore, the lowest common multiple of 546,217,724,337 is 2064870444.

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 217 x 724 x 337 = 28908186216

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

217 : 1, 7, 31, 217

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

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,217,724,337, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

217:7x 31

724:2x 2x 181

337:337

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 28908186216/(1x14)

LCM = 28908186216/14

LCM = 2064870444

Thus, we can understand that the LCM of 546,217,724,337 is 2064870444.

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

• LCM of 314, 596, 916, 246
• LCM of 309, 403, 690, 261
• LCM of 979, 570, 451, 152
• LCM of 119, 277, 523, 771
• LCM of 381, 861, 104, 322

1. What is the LCM of 546, 217, 724, 337?

Answer: LCM of 546, 217, 724, 337 is 2064870444.

2. How to calculate the LCM of 546, 217, 724, 337?

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, 217, 724, 337.

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}.