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LCM of 536, 578, 729

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


Find the LCM of 536, 578, 729 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 536, 578, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 536,578,729

Given numbers are 536,578,729

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

The LCM of 536,578,729 is 112925016.

Find LCM of 536,578,729 with Prime Factorization


2 536, 578, 729
268, 289, 729

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

2 x 268 x 289 x 729 = 112925016

Therefore, the lowest common multiple of 536,578,729 is 112925016.

LCM Formula to Find Lowest Common Multiple of 536,578,729

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.

536 x 578 x 729 = 225850032

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

578 : 1, 2, 17, 34, 289, 578

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,578,729, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

578:2x 17x 17

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

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 = 225850032/(1x2)

LCM = 225850032/2

LCM = 112925016

Thus, we can understand that the LCM of 536,578,729 is 112925016.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 536, 578, 729

1. What is the LCM of 536, 578, 729?

Answer: LCM of 536, 578, 729 is 112925016.

2. How to calculate the LCM of 536, 578, 729?

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 536, 578, 729.

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}.