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LCM of 218, 498, 573, 913

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


Find the LCM of 218, 498, 573, 913 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, 498, 573, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,498,573,913

Given numbers are 218,498,573,913

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

The LCM of 218,498,573,913 is 114046482.

Find LCM of 218,498,573,913 with Prime Factorization


2 218, 498, 573, 913
3 109, 249, 573, 913
83 109, 83, 191, 913
109, 1, 191, 11

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

2 x 3 x 83 x 109 x 1 x 191 x 11 = 114046482

Therefore, the lowest common multiple of 218,498,573,913 is 114046482.

LCM Formula to Find Lowest Common Multiple of 218,498,573,913

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 498 x 573 x 913 = 56795148036

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

573 : 1, 3, 191, 573

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,498,573,913, is 1.

Now, the common factors can be found like this.

218:2x 109

498:2x 3x 83

573:3x 191

913:11x 83

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

2x 3x 83 = 498

Therefore, the value for common factors is 498.

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 = 56795148036/(1x498)

LCM = 56795148036/498

LCM = 114046482

Thus, we can understand that the LCM of 218,498,573,913 is 114046482.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 498, 573, 913

1. What is the LCM of 218, 498, 573, 913?

Answer: LCM of 218, 498, 573, 913 is 114046482.

2. How to calculate the LCM of 218, 498, 573, 913?

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, 498, 573, 913.

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}.