Given numbers are 408,126,939,482,976

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

The LCM of 408,126,939,482,976 is 78849813168.

Find LCM of 408,126,939,482,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 21 x 313 x 241 x 122 = 78849813168

Therefore, the lowest common multiple of 408,126,939,482,976 is 78849813168.

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.

408 x 126 x 939 x 482 x 976 = 22708746192384

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

939 : 1, 3, 313, 939

482 : 1, 2, 241, 482

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,126,939,482,976, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

126:2x 3x 3x 7

939:3x 313

482:2x 241

976:2x 2x 2x 2x 61

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 22708746192384/(1x288)

LCM = 22708746192384/288

LCM = 78849813168

Thus, we can understand that the LCM of 408,126,939,482,976 is 78849813168.

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

• LCM of 232, 360, 812, 377, 297
• LCM of 964, 270, 191, 813, 817
• LCM of 658, 134, 447, 108, 255
• LCM of 423, 253, 288, 801, 221
• LCM of 690, 644, 440, 556, 985

1. What is the LCM of 408, 126, 939, 482, 976?

Answer: LCM of 408, 126, 939, 482, 976 is 78849813168.

2. How to calculate the LCM of 408, 126, 939, 482, 976?

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 408, 126, 939, 482, 976.

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}.