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LCM of 502, 932, 233, 722, 433

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


Find the LCM of 502, 932, 233, 722, 433 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 502, 932, 233, 722, 433. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 502,932,233,722,433

Given numbers are 502,932,233,722,433

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

The LCM of 502,932,233,722,433 is 36566612716.

Find LCM of 502,932,233,722,433 with Prime Factorization


2 502, 932, 233, 722, 433
233 251, 466, 233, 361, 433
251, 2, 1, 361, 433

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

2 x 233 x 251 x 2 x 1 x 361 x 433 = 36566612716

Therefore, the lowest common multiple of 502,932,233,722,433 is 36566612716.

LCM Formula to Find Lowest Common Multiple of 502,932,233,722,433

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 932 x 233 x 722 x 433 = 34080083051312

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

932 : 1, 2, 4, 233, 466, 932

233 : 1, 233

722 : 1, 2, 19, 38, 361, 722

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,932,233,722,433, is 1.

Now, the common factors can be found like this.

502:2x 251

932:2x 2x 233

233:233

722:2x 19x 19

433:433

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 233 = 932

Therefore, the value for common factors is 932.

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 = 34080083051312/(1x932)

LCM = 34080083051312/932

LCM = 36566612716

Thus, we can understand that the LCM of 502,932,233,722,433 is 36566612716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 502, 932, 233, 722, 433

1. What is the LCM of 502, 932, 233, 722, 433?

Answer: LCM of 502, 932, 233, 722, 433 is 36566612716.

2. How to calculate the LCM of 502, 932, 233, 722, 433?

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, 932, 233, 722, 433.

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}.