Given numbers are 829,92,314

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

The LCM of 829,92,314 is 11974076.

Find LCM of 829,92,314 with Prime Factorization

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

2 x 829 x 46 x 157 = 11974076

Therefore, the lowest common multiple of 829,92,314 is 11974076.

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 92 x 314 = 23948152

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

92 : 1, 2, 4, 23, 46, 92

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,92,314, is 1.

Now, the common factors can be found like this.

829:829

92:2x 2x 23

314:2x 157

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 = 23948152/(1x2)

LCM = 23948152/2

LCM = 11974076

Thus, we can understand that the LCM of 829,92,314 is 11974076.

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

• LCM of 573, 24, 506
• LCM of 526, 38, 852
• LCM of 653, 77, 846
• LCM of 805, 71, 120
• LCM of 533, 64, 361

1. What is the LCM of 829, 92, 314?

Answer: LCM of 829, 92, 314 is 11974076.

2. How to calculate the LCM of 829, 92, 314?

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, 92, 314.

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}.