Given numbers are 828,471,912,734

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

The LCM of 828,471,912,734 is 3625848432.

Find LCM of 828,471,912,734 with Prime Factorization

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

2 x 2 x 3 x 69 x 157 x 76 x 367 = 3625848432

Therefore, the lowest common multiple of 828,471,912,734 is 3625848432.

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.

828 x 471 x 912 x 734 = 261061087104

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.

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

471 : 1, 3, 157, 471

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,471,912,734, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

471:3x 157

912:2x 2x 2x 2x 3x 19

734:2x 367

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 = 261061087104/(1x72)

LCM = 261061087104/72

LCM = 3625848432

Thus, we can understand that the LCM of 828,471,912,734 is 3625848432.

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

• LCM of 209, 415, 320, 218
• LCM of 414, 920, 533, 464
• LCM of 309, 230, 823, 580
• LCM of 192, 154, 822, 396
• LCM of 981, 355, 461, 713

1. What is the LCM of 828, 471, 912, 734?

Answer: LCM of 828, 471, 912, 734 is 3625848432.

2. How to calculate the LCM of 828, 471, 912, 734?

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 828, 471, 912, 734.

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}.