Given numbers are 546,404,748,431,484

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

The LCM of 546,404,748,431,484 is 97781247564.

Find LCM of 546,404,748,431,484 with Prime Factorization

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

2 x 2 x 11 x 273 x 101 x 17 x 431 x 11 = 97781247564

Therefore, the lowest common multiple of 546,404,748,431,484 is 97781247564.

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 404 x 748 x 431 x 484 = 34418999142528

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

404 : 1, 2, 4, 101, 202, 404

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

431 : 1, 431

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,404,748,431,484, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

404:2x 2x 101

748:2x 2x 11x 17

431:431

484:2x 2x 11x 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 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 34418999142528/(1x352)

LCM = 34418999142528/352

LCM = 97781247564

Thus, we can understand that the LCM of 546,404,748,431,484 is 97781247564.

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

• LCM of 849, 671, 670, 365, 472
• LCM of 747, 596, 840, 888, 579
• LCM of 857, 752, 597, 253, 592
• LCM of 422, 154, 132, 859, 347
• LCM of 539, 537, 577, 588, 382

1. What is the LCM of 546, 404, 748, 431, 484?

Answer: LCM of 546, 404, 748, 431, 484 is 97781247564.

2. How to calculate the LCM of 546, 404, 748, 431, 484?

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, 404, 748, 431, 484.

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}.