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LCM of 226, 170, 187, 915, 543

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


Find the LCM of 226, 170, 187, 915, 543 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 226, 170, 187, 915, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,170,187,915,543

Given numbers are 226,170,187,915,543

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

The LCM of 226,170,187,915,543 is 6999221130.

Find LCM of 226,170,187,915,543 with Prime Factorization


2 226, 170, 187, 915, 543
3 113, 85, 187, 915, 543
5 113, 85, 187, 305, 181
17 113, 17, 187, 61, 181
113, 1, 11, 61, 181

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

2 x 3 x 5 x 17 x 113 x 1 x 11 x 61 x 181 = 6999221130

Therefore, the lowest common multiple of 226,170,187,915,543 is 6999221130.

LCM Formula to Find Lowest Common Multiple of 226,170,187,915,543

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.

226 x 170 x 187 x 915 x 543 = 3569602776300

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.

226 : 1, 2, 113, 226

170 : 1, 2, 5, 10, 17, 34, 85, 170

187 : 1, 11, 17, 187

915 : 1, 3, 5, 15, 61, 183, 305, 915

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,170,187,915,543, is 1.

Now, the common factors can be found like this.

226:2x 113

170:2x 5x 17

187:11x 17

915:3x 5x 61

543:3x 181

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 5x 17 = 510

Therefore, the value for common factors is 510.

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 = 3569602776300/(1x510)

LCM = 3569602776300/510

LCM = 6999221130

Thus, we can understand that the LCM of 226,170,187,915,543 is 6999221130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 170, 187, 915, 543

1. What is the LCM of 226, 170, 187, 915, 543?

Answer: LCM of 226, 170, 187, 915, 543 is 6999221130.

2. How to calculate the LCM of 226, 170, 187, 915, 543?

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 226, 170, 187, 915, 543.

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}.