Given numbers are 347,920,624,414

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

The LCM of 347,920,624,414 is 74702160.

Find LCM of 347,920,624,414 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 347 x 5 x 26 x 3 = 74702160

Therefore, the lowest common multiple of 347,920,624,414 is 74702160.

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 920 x 624 x 414 = 82471184640

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,920,624,414, is 1.

Now, the common factors can be found like this.

347:347

920:2x 2x 2x 5x 23

624:2x 2x 2x 2x 3x 13

414:2x 3x 3x 23

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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 82471184640/(1x1104)

LCM = 82471184640/1104

LCM = 74702160

Thus, we can understand that the LCM of 347,920,624,414 is 74702160.

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

• LCM of 184, 757, 792, 380
• LCM of 293, 953, 845, 810
• LCM of 894, 966, 923, 721
• LCM of 514, 982, 383, 826
• LCM of 956, 451, 148, 797

1. What is the LCM of 347, 920, 624, 414?

Answer: LCM of 347, 920, 624, 414 is 74702160.

2. How to calculate the LCM of 347, 920, 624, 414?

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, 920, 624, 414.

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}.