Given numbers are 723,157,729,498,130

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

The LCM of 723,157,729,498,130 is 297622436670.

Find LCM of 723,157,729,498,130 with Prime Factorization

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

2 x 3 x 241 x 157 x 243 x 83 x 65 = 297622436670

Therefore, the lowest common multiple of 723,157,729,498,130 is 297622436670.

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.

723 x 157 x 729 x 498 x 130 = 5357203860060

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.

723 : 1, 3, 241, 723

157 : 1, 157

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,157,729,498,130, is 1.

Now, the common factors can be found like this.

723:3x 241

157:157

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

498:2x 3x 83

130:2x 5x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5357203860060/(1x18)

LCM = 5357203860060/18

LCM = 297622436670

Thus, we can understand that the LCM of 723,157,729,498,130 is 297622436670.

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

• LCM of 893, 818, 677, 359, 828
• LCM of 702, 914, 258, 849, 813
• LCM of 950, 633, 426, 237, 109
• LCM of 530, 135, 578, 432, 101
• LCM of 643, 129, 242, 978, 423

1. What is the LCM of 723, 157, 729, 498, 130?

Answer: LCM of 723, 157, 729, 498, 130 is 297622436670.

2. How to calculate the LCM of 723, 157, 729, 498, 130?

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 723, 157, 729, 498, 130.

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}.