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LCM of 433, 435, 323, 348

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 433, 435, 323, 348 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 433, 435, 323, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,435,323,348

Given numbers are 433,435,323,348

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

The LCM of 433,435,323,348 is 243354660.

Find LCM of 433,435,323,348 with Prime Factorization


3 433, 435, 323, 348
29 433, 145, 323, 116
433, 5, 323, 4

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

3 x 29 x 433 x 5 x 323 x 4 = 243354660

Therefore, the lowest common multiple of 433,435,323,348 is 243354660.

LCM Formula to Find Lowest Common Multiple of 433,435,323,348

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.

433 x 435 x 323 x 348 = 21171855420

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.

433 : 1, 433

435 : 1, 3, 5, 15, 29, 87, 145, 435

323 : 1, 17, 19, 323

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,435,323,348, is 1.

Now, the common factors can be found like this.

433:433

435:3x 5x 29

323:17x 19

348:2x 2x 3x 29

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

3x 29 = 87

Therefore, the value for common factors is 87.

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 = 21171855420/(1x87)

LCM = 21171855420/87

LCM = 243354660

Thus, we can understand that the LCM of 433,435,323,348 is 243354660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 435, 323, 348

1. What is the LCM of 433, 435, 323, 348?

Answer: LCM of 433, 435, 323, 348 is 243354660.

2. How to calculate the LCM of 433, 435, 323, 348?

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 433, 435, 323, 348.

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}.