Given numbers are 547,657,348,729,990

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

The LCM of 547,657,348,729,990 is 185719879620.

Find LCM of 547,657,348,729,990 with Prime Factorization

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

2 x 3 x 3 x 547 x 73 x 58 x 81 x 55 = 185719879620

Therefore, the lowest common multiple of 547,657,348,729,990 is 185719879620.

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.

547 x 657 x 348 x 729 x 990 = 90259861495320

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.

547 : 1, 547

657 : 1, 3, 9, 73, 219, 657

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

729 : 1, 3, 9, 27, 81, 243, 729

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 547,657,348,729,990, is 1.

Now, the common factors can be found like this.

547:547

657:3x 3x 73

348:2x 2x 3x 29

729:3x 3x 3x 3x 3x 3

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 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 90259861495320/(1x486)

LCM = 90259861495320/486

LCM = 185719879620

Thus, we can understand that the LCM of 547,657,348,729,990 is 185719879620.

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

• LCM of 198, 456, 591, 697, 145
• LCM of 429, 820, 803, 456, 680
• LCM of 592, 650, 424, 578, 670
• LCM of 986, 585, 224, 746, 955
• LCM of 759, 908, 597, 224, 288

1. What is the LCM of 547, 657, 348, 729, 990?

Answer: LCM of 547, 657, 348, 729, 990 is 185719879620.

2. How to calculate the LCM of 547, 657, 348, 729, 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 547, 657, 348, 729, 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}.