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LCM of 529, 165, 896, 934, 109

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


Find the LCM of 529, 165, 896, 934, 109 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 529, 165, 896, 934, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,165,896,934,109

Given numbers are 529,165,896,934,109

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

The LCM of 529,165,896,934,109 is 3980989246080.

Find LCM of 529,165,896,934,109 with Prime Factorization


2 529, 165, 896, 934, 109
529, 165, 448, 467, 109

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

2 x 529 x 165 x 448 x 467 x 109 = 3980989246080

Therefore, the lowest common multiple of 529,165,896,934,109 is 3980989246080.

LCM Formula to Find Lowest Common Multiple of 529,165,896,934,109

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.

529 x 165 x 896 x 934 x 109 = 7961978492160

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.

529 : 1, 23, 529

165 : 1, 3, 5, 11, 15, 33, 55, 165

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

934 : 1, 2, 467, 934

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,165,896,934,109, is 1.

Now, the common factors can be found like this.

529:23x 23

165:3x 5x 11

896:2x 2x 2x 2x 2x 2x 2x 7

934:2x 467

109:109

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7961978492160/(1x2)

LCM = 7961978492160/2

LCM = 3980989246080

Thus, we can understand that the LCM of 529,165,896,934,109 is 3980989246080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 165, 896, 934, 109

1. What is the LCM of 529, 165, 896, 934, 109?

Answer: LCM of 529, 165, 896, 934, 109 is 3980989246080.

2. How to calculate the LCM of 529, 165, 896, 934, 109?

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 529, 165, 896, 934, 109.

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}.