Given numbers are 828,203,672,610

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

The LCM of 828,203,672,610 is 410124960.

Find LCM of 828,203,672,610 with Prime Factorization

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

2 x 2 x 3 x 7 x 69 x 29 x 8 x 305 = 410124960

Therefore, the lowest common multiple of 828,203,672,610 is 410124960.

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 203 x 672 x 610 = 68900993280

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

203 : 1, 7, 29, 203

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,203,672,610, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

203:7x 29

672:2x 2x 2x 2x 2x 3x 7

610:2x 5x 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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 68900993280/(1x168)

LCM = 68900993280/168

LCM = 410124960

Thus, we can understand that the LCM of 828,203,672,610 is 410124960.

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

• LCM of 267, 620, 923, 130
• LCM of 127, 656, 470, 405
• LCM of 158, 522, 510, 967
• LCM of 676, 346, 412, 542
• LCM of 693, 434, 482, 516

1. What is the LCM of 828, 203, 672, 610?

Answer: LCM of 828, 203, 672, 610 is 410124960.

2. How to calculate the LCM of 828, 203, 672, 610?

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, 203, 672, 610.

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}.