Given numbers are 771,128,351,678,412

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

The LCM of 771,128,351,678,412 is 134389666944.

Find LCM of 771,128,351,678,412 with Prime Factorization

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

2 x 2 x 3 x 257 x 32 x 117 x 113 x 103 = 134389666944

Therefore, the lowest common multiple of 771,128,351,678,412 is 134389666944.

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.

771 x 128 x 351 x 678 x 412 = 9676056019968

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.

771 : 1, 3, 257, 771

128 : 1, 2, 4, 8, 16, 32, 64, 128

351 : 1, 3, 9, 13, 27, 39, 117, 351

678 : 1, 2, 3, 6, 113, 226, 339, 678

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,128,351,678,412, is 1.

Now, the common factors can be found like this.

771:3x 257

128:2x 2x 2x 2x 2x 2x 2

351:3x 3x 3x 13

678:2x 3x 113

412:2x 2x 103

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 9676056019968/(1x72)

LCM = 9676056019968/72

LCM = 134389666944

Thus, we can understand that the LCM of 771,128,351,678,412 is 134389666944.

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

• LCM of 339, 533, 223, 481, 683
• LCM of 660, 958, 295, 534, 123
• LCM of 922, 579, 982, 501, 665
• LCM of 293, 479, 307, 466, 535
• LCM of 393, 109, 900, 772, 293

1. What is the LCM of 771, 128, 351, 678, 412?

Answer: LCM of 771, 128, 351, 678, 412 is 134389666944.

2. How to calculate the LCM of 771, 128, 351, 678, 412?

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 771, 128, 351, 678, 412.

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}.