Given numbers are 578,701,174,914,424

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

The LCM of 578,701,174,914,424 is 3415208085624.

Find LCM of 578,701,174,914,424 with Prime Factorization

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

2 x 289 x 701 x 87 x 457 x 212 = 3415208085624

Therefore, the lowest common multiple of 578,701,174,914,424 is 3415208085624.

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.

578 x 701 x 174 x 914 x 424 = 27321664684992

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.

578 : 1, 2, 17, 34, 289, 578

701 : 1, 701

174 : 1, 2, 3, 6, 29, 58, 87, 174

914 : 1, 2, 457, 914

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,701,174,914,424, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

701:701

174:2x 3x 29

914:2x 457

424:2x 2x 2x 53

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 2 = 8

Therefore, the value for common factors is 8.

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 = 27321664684992/(1x8)

LCM = 27321664684992/8

LCM = 3415208085624

Thus, we can understand that the LCM of 578,701,174,914,424 is 3415208085624.

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

• LCM of 535, 116, 385, 737, 561
• LCM of 276, 248, 897, 687, 287
• LCM of 140, 967, 504, 948, 461
• LCM of 205, 559, 549, 154, 550
• LCM of 903, 914, 427, 915, 907

1. What is the LCM of 578, 701, 174, 914, 424?

Answer: LCM of 578, 701, 174, 914, 424 is 3415208085624.

2. How to calculate the LCM of 578, 701, 174, 914, 424?

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 578, 701, 174, 914, 424.

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}.