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LCM of 218, 35, 539

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


Find the LCM of 218, 35, 539 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 218, 35, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,35,539

Given numbers are 218,35,539

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

The LCM of 218,35,539 is 587510.

Find LCM of 218,35,539 with Prime Factorization


7 218, 35, 539
218, 5, 77

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

7 x 218 x 5 x 77 = 587510

Therefore, the lowest common multiple of 218,35,539 is 587510.

LCM Formula to Find Lowest Common Multiple of 218,35,539

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.

218 x 35 x 539 = 4112570

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.

218 : 1, 2, 109, 218

35 : 1, 5, 7, 35

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,35,539, is 1.

Now, the common factors can be found like this.

218:2x 109

35:5x 7

539:7x 7x 11

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

7 = 7

Therefore, the value for common factors is 7.

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 = 4112570/(1x7)

LCM = 4112570/7

LCM = 587510

Thus, we can understand that the LCM of 218,35,539 is 587510.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 218, 35, 539

1. What is the LCM of 218, 35, 539?

Answer: LCM of 218, 35, 539 is 587510.

2. How to calculate the LCM of 218, 35, 539?

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 218, 35, 539.

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}.