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LCM of 741, 599, 899, 589

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


Find the LCM of 741, 599, 899, 589 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 741, 599, 899, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,599,899,589

Given numbers are 741,599,899,589

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

The LCM of 741,599,899,589 is 399029241.

Find LCM of 741,599,899,589 with Prime Factorization


19 741, 599, 899, 589
31 39, 599, 899, 31
39, 599, 29, 1

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

19 x 31 x 39 x 599 x 29 x 1 = 399029241

Therefore, the lowest common multiple of 741,599,899,589 is 399029241.

LCM Formula to Find Lowest Common Multiple of 741,599,899,589

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.

741 x 599 x 899 x 589 = 235028222949

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

599 : 1, 599

899 : 1, 29, 31, 899

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,599,899,589, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

599:599

899:29x 31

589:19x 31

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

19x 31 = 589

Therefore, the value for common factors is 589.

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 = 235028222949/(1x589)

LCM = 235028222949/589

LCM = 399029241

Thus, we can understand that the LCM of 741,599,899,589 is 399029241.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 599, 899, 589

1. What is the LCM of 741, 599, 899, 589?

Answer: LCM of 741, 599, 899, 589 is 399029241.

2. How to calculate the LCM of 741, 599, 899, 589?

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 741, 599, 899, 589.

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}.