Given numbers are 502,214,323

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

The LCM of 502,214,323 is 17349622.

Find LCM of 502,214,323 with Prime Factorization

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

2 x 251 x 107 x 323 = 17349622

Therefore, the lowest common multiple of 502,214,323 is 17349622.

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.

502 x 214 x 323 = 34699244

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.

502 : 1, 2, 251, 502

214 : 1, 2, 107, 214

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,214,323, is 1.

Now, the common factors can be found like this.

502:2x 251

214:2x 107

323:17x 19

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 = 34699244/(1x2)

LCM = 34699244/2

LCM = 17349622

Thus, we can understand that the LCM of 502,214,323 is 17349622.

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

• LCM of 113, 278, 461
• LCM of 862, 148, 948
• LCM of 996, 784, 397
• LCM of 129, 830, 701
• LCM of 730, 682, 157

1. What is the LCM of 502, 214, 323?

Answer: LCM of 502, 214, 323 is 17349622.

2. How to calculate the LCM of 502, 214, 323?

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 502, 214, 323.

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}.