Given numbers are 306,704,894,329,542

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

The LCM of 306,704,894,329,542 is 1430920636992.

Find LCM of 306,704,894,329,542 with Prime Factorization

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

2 x 3 x 51 x 352 x 149 x 329 x 271 = 1430920636992

Therefore, the lowest common multiple of 306,704,894,329,542 is 1430920636992.

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.

306 x 704 x 894 x 329 x 542 = 34342095287808

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

894 : 1, 2, 3, 6, 149, 298, 447, 894

329 : 1, 7, 47, 329

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,704,894,329,542, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

704:2x 2x 2x 2x 2x 2x 11

894:2x 3x 149

329:7x 47

542:2x 271

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 3 = 24

Therefore, the value for common factors is 24.

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 = 34342095287808/(1x24)

LCM = 34342095287808/24

LCM = 1430920636992

Thus, we can understand that the LCM of 306,704,894,329,542 is 1430920636992.

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

• LCM of 666, 972, 953, 473, 576
• LCM of 206, 623, 253, 753, 101
• LCM of 331, 973, 929, 166, 785
• LCM of 585, 141, 134, 202, 114
• LCM of 451, 590, 631, 920, 613

1. What is the LCM of 306, 704, 894, 329, 542?

Answer: LCM of 306, 704, 894, 329, 542 is 1430920636992.

2. How to calculate the LCM of 306, 704, 894, 329, 542?

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 306, 704, 894, 329, 542.

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}.