Given numbers are 578,506,533,346

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

The LCM of 578,506,533,346 is 13484090906.

Find LCM of 578,506,533,346 with Prime Factorization

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

2 x 289 x 253 x 533 x 173 = 13484090906

Therefore, the lowest common multiple of 578,506,533,346 is 13484090906.

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 506 x 533 x 346 = 53936363624

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

533 : 1, 13, 41, 533

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,506,533,346, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

506:2x 11x 23

533:13x 41

346:2x 173

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53936363624/(1x4)

LCM = 53936363624/4

LCM = 13484090906

Thus, we can understand that the LCM of 578,506,533,346 is 13484090906.

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

• LCM of 138, 868, 886, 762
• LCM of 614, 902, 733, 269
• LCM of 965, 301, 516, 350
• LCM of 725, 208, 626, 299
• LCM of 724, 664, 545, 258

1. What is the LCM of 578, 506, 533, 346?

Answer: LCM of 578, 506, 533, 346 is 13484090906.

2. How to calculate the LCM of 578, 506, 533, 346?

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, 506, 533, 346.

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}.