Given numbers are 829,380,306

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

The LCM of 829,380,306 is 48198060.

Find LCM of 829,380,306 with Prime Factorization

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

2 x 829 x 190 x 153 = 48198060

Therefore, the lowest common multiple of 829,380,306 is 48198060.

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.

829 x 380 x 306 = 96396120

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.

829 : 1, 829

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,380,306, is 1.

Now, the common factors can be found like this.

829:829

380:2x 2x 5x 19

306:2x 3x 3x 17

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 = 96396120/(1x2)

LCM = 96396120/2

LCM = 48198060

Thus, we can understand that the LCM of 829,380,306 is 48198060.

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

• LCM of 314, 591, 322
• LCM of 367, 106, 939
• LCM of 616, 547, 705
• LCM of 358, 462, 926
• LCM of 887, 998, 900

1. What is the LCM of 829, 380, 306?

Answer: LCM of 829, 380, 306 is 48198060.

2. How to calculate the LCM of 829, 380, 306?

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 829, 380, 306.

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}.