Given numbers are 310,223,321,324

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

The LCM of 310,223,321,324 is 1198299420.

Find LCM of 310,223,321,324 with Prime Factorization

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

2 x 3 x 155 x 223 x 107 x 54 = 1198299420

Therefore, the lowest common multiple of 310,223,321,324 is 1198299420.

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.

310 x 223 x 321 x 324 = 7189796520

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

223 : 1, 223

321 : 1, 3, 107, 321

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,223,321,324, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

223:223

321:3x 107

324:2x 2x 3x 3x 3x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7189796520/(1x6)

LCM = 7189796520/6

LCM = 1198299420

Thus, we can understand that the LCM of 310,223,321,324 is 1198299420.

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

• LCM of 360, 782, 438, 549
• LCM of 674, 107, 181, 688
• LCM of 914, 834, 681, 243
• LCM of 828, 320, 615, 453
• LCM of 113, 109, 483, 887

1. What is the LCM of 310, 223, 321, 324?

Answer: LCM of 310, 223, 321, 324 is 1198299420.

2. How to calculate the LCM of 310, 223, 321, 324?

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 310, 223, 321, 324.

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}.