Given numbers are 488,305,506,349

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

The LCM of 488,305,506,349 is 215444680.

Find LCM of 488,305,506,349 with Prime Factorization

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

2 x 61 x 4 x 5 x 253 x 349 = 215444680

Therefore, the lowest common multiple of 488,305,506,349 is 215444680.

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.

488 x 305 x 506 x 349 = 26284250960

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

305 : 1, 5, 61, 305

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

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,305,506,349, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

305:5x 61

506:2x 11x 23

349:349

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 26284250960/(1x122)

LCM = 26284250960/122

LCM = 215444680

Thus, we can understand that the LCM of 488,305,506,349 is 215444680.

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

• LCM of 182, 330, 602, 127
• LCM of 757, 513, 265, 445
• LCM of 262, 600, 612, 424
• LCM of 728, 560, 392, 869
• LCM of 631, 839, 534, 719

1. What is the LCM of 488, 305, 506, 349?

Answer: LCM of 488, 305, 506, 349 is 215444680.

2. How to calculate the LCM of 488, 305, 506, 349?

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 488, 305, 506, 349.

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}.