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LCM of 731, 580, 231, 551

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


Find the LCM of 731, 580, 231, 551 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, 580, 231, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,580,231,551

Given numbers are 731,580,231,551

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

The LCM of 731,580,231,551 is 1860848220.

Find LCM of 731,580,231,551 with Prime Factorization


29 731, 580, 231, 551
731, 20, 231, 19

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

29 x 731 x 20 x 231 x 19 = 1860848220

Therefore, the lowest common multiple of 731,580,231,551 is 1860848220.

LCM Formula to Find Lowest Common Multiple of 731,580,231,551

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 580 x 231 x 551 = 53964598380

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

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

231 : 1, 3, 7, 11, 21, 33, 77, 231

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,580,231,551, is 1.

Now, the common factors can be found like this.

731:17x 43

580:2x 2x 5x 29

231:3x 7x 11

551:19x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 53964598380/(1x29)

LCM = 53964598380/29

LCM = 1860848220

Thus, we can understand that the LCM of 731,580,231,551 is 1860848220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 580, 231, 551

1. What is the LCM of 731, 580, 231, 551?

Answer: LCM of 731, 580, 231, 551 is 1860848220.

2. How to calculate the LCM of 731, 580, 231, 551?

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, 580, 231, 551.

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}.