Given numbers are 829,133,133,217

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

The LCM of 829,133,133,217 is 3417967.

Find LCM of 829,133,133,217 with Prime Factorization

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

7 x 19 x 829 x 1 x 1 x 31 = 3417967

Therefore, the lowest common multiple of 829,133,133,217 is 3417967.

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 133 x 133 x 217 = 3182127277

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

133 : 1, 7, 19, 133

133 : 1, 7, 19, 133

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,133,133,217, is 1.

Now, the common factors can be found like this.

829:829

133:7x 19

133:7x 19

217:7x 31

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

7x 7x 19 = 931

Therefore, the value for common factors is 931.

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 = 3182127277/(1x931)

LCM = 3182127277/931

LCM = 3417967

Thus, we can understand that the LCM of 829,133,133,217 is 3417967.

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

• LCM of 404, 932, 406, 958
• LCM of 993, 242, 545, 151
• LCM of 910, 667, 241, 747
• LCM of 830, 331, 574, 571
• LCM of 792, 243, 443, 889

1. What is the LCM of 829, 133, 133, 217?

Answer: LCM of 829, 133, 133, 217 is 3417967.

2. How to calculate the LCM of 829, 133, 133, 217?

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, 133, 133, 217.

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}.