Given numbers are 758,107,828

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

The LCM of 758,107,828 is 33577884.

Find LCM of 758,107,828 with Prime Factorization

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

2 x 379 x 107 x 414 = 33577884

Therefore, the lowest common multiple of 758,107,828 is 33577884.

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.

758 x 107 x 828 = 67155768

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.

758 : 1, 2, 379, 758

107 : 1, 107

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,107,828, is 1.

Now, the common factors can be found like this.

758:2x 379

107:107

828:2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 67155768/(1x2)

LCM = 67155768/2

LCM = 33577884

Thus, we can understand that the LCM of 758,107,828 is 33577884.

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

• LCM of 857, 100, 344
• LCM of 118, 740, 686
• LCM of 924, 108, 122
• LCM of 444, 848, 329
• LCM of 829, 766, 576

1. What is the LCM of 758, 107, 828?

Answer: LCM of 758, 107, 828 is 33577884.

2. How to calculate the LCM of 758, 107, 828?

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 758, 107, 828.

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}.