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LCM of 578, 124, 698, 810

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


Find the LCM of 578, 124, 698, 810 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 578, 124, 698, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,124,698,810

Given numbers are 578,124,698,810

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

The LCM of 578,124,698,810 is 5065239420.

Find LCM of 578,124,698,810 with Prime Factorization


2 578, 124, 698, 810
289, 62, 349, 405

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

2 x 289 x 62 x 349 x 405 = 5065239420

Therefore, the lowest common multiple of 578,124,698,810 is 5065239420.

LCM Formula to Find Lowest Common Multiple of 578,124,698,810

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.

578 x 124 x 698 x 810 = 40521915360

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.

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

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

698 : 1, 2, 349, 698

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,124,698,810, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

124:2x 2x 31

698:2x 349

810:2x 3x 3x 3x 3x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40521915360/(2x4)

LCM = 40521915360/8

LCM = 5065239420

Thus, we can understand that the LCM of 578,124,698,810 is 5065239420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 124, 698, 810

1. What is the LCM of 578, 124, 698, 810?

Answer: LCM of 578, 124, 698, 810 is 5065239420.

2. How to calculate the LCM of 578, 124, 698, 810?

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 578, 124, 698, 810.

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}.