Given numbers are 313,323,646

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

The LCM of 313,323,646 is 202198.

Find LCM of 313,323,646 with Prime Factorization

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

17 x 19 x 313 x 1 x 2 = 202198

Therefore, the lowest common multiple of 313,323,646 is 202198.

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.

313 x 323 x 646 = 65309954

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.

313 : 1, 313

323 : 1, 17, 19, 323

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,323,646, is 1.

Now, the common factors can be found like this.

313:313

323:17x 19

646:2x 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.

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 65309954/(1x323)

LCM = 65309954/323

LCM = 202198

Thus, we can understand that the LCM of 313,323,646 is 202198.

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

• LCM of 404, 398, 108
• LCM of 423, 600, 665
• LCM of 271, 910, 161
• LCM of 264, 326, 476
• LCM of 171, 841, 865

1. What is the LCM of 313, 323, 646?

Answer: LCM of 313, 323, 646 is 202198.

2. How to calculate the LCM of 313, 323, 646?

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 313, 323, 646.

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}.