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LCM of 133, 593, 729, 458, 736

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


Find the LCM of 133, 593, 729, 458, 736 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 133, 593, 729, 458, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,593,729,458,736

Given numbers are 133,593,729,458,736

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

The LCM of 133,593,729,458,736 is 9690521720544.

Find LCM of 133,593,729,458,736 with Prime Factorization


2 133, 593, 729, 458, 736
133, 593, 729, 229, 368

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

2 x 133 x 593 x 729 x 229 x 368 = 9690521720544

Therefore, the lowest common multiple of 133,593,729,458,736 is 9690521720544.

LCM Formula to Find Lowest Common Multiple of 133,593,729,458,736

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.

133 x 593 x 729 x 458 x 736 = 19381043441088

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.

133 : 1, 7, 19, 133

593 : 1, 593

729 : 1, 3, 9, 27, 81, 243, 729

458 : 1, 2, 229, 458

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,593,729,458,736, is 1.

Now, the common factors can be found like this.

133:7x 19

593:593

729:3x 3x 3x 3x 3x 3

458:2x 229

736:2x 2x 2x 2x 2x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19381043441088/(1x2)

LCM = 19381043441088/2

LCM = 9690521720544

Thus, we can understand that the LCM of 133,593,729,458,736 is 9690521720544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 593, 729, 458, 736

1. What is the LCM of 133, 593, 729, 458, 736?

Answer: LCM of 133, 593, 729, 458, 736 is 9690521720544.

2. How to calculate the LCM of 133, 593, 729, 458, 736?

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 133, 593, 729, 458, 736.

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}.