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LCM of 290, 291, 826, 638, 166

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


Find the LCM of 290, 291, 826, 638, 166 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 290, 291, 826, 638, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 290,291,826,638,166

Given numbers are 290,291,826,638,166

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

The LCM of 290,291,826,638,166 is 31820852910.

Find LCM of 290,291,826,638,166 with Prime Factorization


2 290, 291, 826, 638, 166
29 145, 291, 413, 319, 83
5, 291, 413, 11, 83

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

2 x 29 x 5 x 291 x 413 x 11 x 83 = 31820852910

Therefore, the lowest common multiple of 290,291,826,638,166 is 31820852910.

LCM Formula to Find Lowest Common Multiple of 290,291,826,638,166

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.

290 x 291 x 826 x 638 x 166 = 7382437875120

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

291 : 1, 3, 97, 291

826 : 1, 2, 7, 14, 59, 118, 413, 826

638 : 1, 2, 11, 22, 29, 58, 319, 638

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,291,826,638,166, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

291:3x 97

826:2x 7x 59

638:2x 11x 29

166:2x 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 2x 2x 29 = 232

Therefore, the value for common factors is 232.

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 = 7382437875120/(1x232)

LCM = 7382437875120/232

LCM = 31820852910

Thus, we can understand that the LCM of 290,291,826,638,166 is 31820852910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 290, 291, 826, 638, 166

1. What is the LCM of 290, 291, 826, 638, 166?

Answer: LCM of 290, 291, 826, 638, 166 is 31820852910.

2. How to calculate the LCM of 290, 291, 826, 638, 166?

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 290, 291, 826, 638, 166.

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}.