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LCM of 731, 172, 248, 590

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


Find the LCM of 731, 172, 248, 590 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 731, 172, 248, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,172,248,590

Given numbers are 731,172,248,590

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

The LCM of 731,172,248,590 is 53479960.

Find LCM of 731,172,248,590 with Prime Factorization


2 731, 172, 248, 590
2 731, 86, 124, 295
43 731, 43, 62, 295
17, 1, 62, 295

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

2 x 2 x 43 x 17 x 1 x 62 x 295 = 53479960

Therefore, the lowest common multiple of 731,172,248,590 is 53479960.

LCM Formula to Find Lowest Common Multiple of 731,172,248,590

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.

731 x 172 x 248 x 590 = 18397106240

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.

731 : 1, 17, 43, 731

172 : 1, 2, 4, 43, 86, 172

248 : 1, 2, 4, 8, 31, 62, 124, 248

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,172,248,590, is 1.

Now, the common factors can be found like this.

731:17x 43

172:2x 2x 43

248:2x 2x 2x 31

590:2x 5x 59

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 43 = 344

Therefore, the value for common factors is 344.

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 = 18397106240/(1x344)

LCM = 18397106240/344

LCM = 53479960

Thus, we can understand that the LCM of 731,172,248,590 is 53479960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 172, 248, 590

1. What is the LCM of 731, 172, 248, 590?

Answer: LCM of 731, 172, 248, 590 is 53479960.

2. How to calculate the LCM of 731, 172, 248, 590?

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 731, 172, 248, 590.

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}.