Given numbers are 347,988,312,464,493

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

The LCM of 347,988,312,464,493 is 2028217776.

Find LCM of 347,988,312,464,493 with Prime Factorization

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

2 x 2 x 2 x 13 x 29 x 347 x 19 x 3 x 2 x 17 = 2028217776

Therefore, the lowest common multiple of 347,988,312,464,493 is 2028217776.

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.

347 x 988 x 312 x 464 x 493 = 24468419249664

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.

347 : 1, 347

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,988,312,464,493, is 1.

Now, the common factors can be found like this.

347:347

988:2x 2x 13x 19

312:2x 2x 2x 3x 13

464:2x 2x 2x 2x 29

493:17x 29

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 2x 2x 13x 29 = 12064

Therefore, the value for common factors is 12064.

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 = 24468419249664/(1x12064)

LCM = 24468419249664/12064

LCM = 2028217776

Thus, we can understand that the LCM of 347,988,312,464,493 is 2028217776.

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

• LCM of 151, 106, 427, 110, 140
• LCM of 103, 198, 318, 835, 502
• LCM of 301, 709, 729, 709, 999
• LCM of 492, 773, 308, 664, 811
• LCM of 837, 856, 984, 967, 560

1. What is the LCM of 347, 988, 312, 464, 493?

Answer: LCM of 347, 988, 312, 464, 493 is 2028217776.

2. How to calculate the LCM of 347, 988, 312, 464, 493?

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 347, 988, 312, 464, 493.

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}.