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LCM of 230, 502, 167, 788

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


Find the LCM of 230, 502, 167, 788 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 230, 502, 167, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,502,167,788

Given numbers are 230,502,167,788

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

The LCM of 230,502,167,788 is 3798518540.

Find LCM of 230,502,167,788 with Prime Factorization


2 230, 502, 167, 788
115, 251, 167, 394

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

2 x 115 x 251 x 167 x 394 = 3798518540

Therefore, the lowest common multiple of 230,502,167,788 is 3798518540.

LCM Formula to Find Lowest Common Multiple of 230,502,167,788

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.

230 x 502 x 167 x 788 = 15194074160

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

502 : 1, 2, 251, 502

167 : 1, 167

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,502,167,788, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

502:2x 251

167:167

788:2x 2x 197

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15194074160/(1x4)

LCM = 15194074160/4

LCM = 3798518540

Thus, we can understand that the LCM of 230,502,167,788 is 3798518540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 502, 167, 788

1. What is the LCM of 230, 502, 167, 788?

Answer: LCM of 230, 502, 167, 788 is 3798518540.

2. How to calculate the LCM of 230, 502, 167, 788?

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 230, 502, 167, 788.

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}.