Given numbers are 233,292,412,224

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

The LCM of 233,292,412,224 is 392431648.

Find LCM of 233,292,412,224 with Prime Factorization

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

2 x 2 x 233 x 73 x 103 x 56 = 392431648

Therefore, the lowest common multiple of 233,292,412,224 is 392431648.

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.

233 x 292 x 412 x 224 = 6278906368

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.

233 : 1, 233

292 : 1, 2, 4, 73, 146, 292

412 : 1, 2, 4, 103, 206, 412

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,292,412,224, is 1.

Now, the common factors can be found like this.

233:233

292:2x 2x 73

412:2x 2x 103

224:2x 2x 2x 2x 2x 7

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 6278906368/(1x16)

LCM = 6278906368/16

LCM = 392431648

Thus, we can understand that the LCM of 233,292,412,224 is 392431648.

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

• LCM of 224, 651, 712, 172
• LCM of 452, 163, 658, 470
• LCM of 333, 355, 632, 938
• LCM of 260, 360, 493, 667
• LCM of 289, 153, 161, 568

1. What is the LCM of 233, 292, 412, 224?

Answer: LCM of 233, 292, 412, 224 is 392431648.

2. How to calculate the LCM of 233, 292, 412, 224?

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 233, 292, 412, 224.

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}.