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LCM of 233, 817, 215, 127, 814

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


Find the LCM of 233, 817, 215, 127, 814 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 233, 817, 215, 127, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 233,817,215,127,814

Given numbers are 233,817,215,127,814

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

The LCM of 233,817,215,127,814 is 98395697290.

Find LCM of 233,817,215,127,814 with Prime Factorization


43 233, 817, 215, 127, 814
233, 19, 5, 127, 814

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

43 x 233 x 19 x 5 x 127 x 814 = 98395697290

Therefore, the lowest common multiple of 233,817,215,127,814 is 98395697290.

LCM Formula to Find Lowest Common Multiple of 233,817,215,127,814

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.

233 x 817 x 215 x 127 x 814 = 4231014983470

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.

233 : 1, 233

817 : 1, 19, 43, 817

215 : 1, 5, 43, 215

127 : 1, 127

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,817,215,127,814, is 1.

Now, the common factors can be found like this.

233:233

817:19x 43

215:5x 43

127:127

814:2x 11x 37

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

43 = 43

Therefore, the value for common factors is 43.

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 = 4231014983470/(1x43)

LCM = 4231014983470/43

LCM = 98395697290

Thus, we can understand that the LCM of 233,817,215,127,814 is 98395697290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 233, 817, 215, 127, 814

1. What is the LCM of 233, 817, 215, 127, 814?

Answer: LCM of 233, 817, 215, 127, 814 is 98395697290.

2. How to calculate the LCM of 233, 817, 215, 127, 814?

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 233, 817, 215, 127, 814.

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}.