Given numbers are 828,597,645

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

The LCM of 828,597,645 is 35425980.

Find LCM of 828,597,645 with Prime Factorization

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

3 x 276 x 199 x 215 = 35425980

Therefore, the lowest common multiple of 828,597,645 is 35425980.

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 597 x 645 = 318833820

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

597 : 1, 3, 199, 597

645 : 1, 3, 5, 15, 43, 129, 215, 645

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,597,645, is 3.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

597:3x 199

645:3x 5x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 318833820/(3x3)

LCM = 318833820/9

LCM = 35425980

Thus, we can understand that the LCM of 828,597,645 is 35425980.

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

• LCM of 462, 604, 682
• LCM of 372, 169, 109
• LCM of 518, 435, 503
• LCM of 288, 706, 406
• LCM of 858, 822, 780

1. What is the LCM of 828, 597, 645?

Answer: LCM of 828, 597, 645 is 35425980.

2. How to calculate the LCM of 828, 597, 645?

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, 597, 645.

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}.