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LCM of 930, 166, 581, 529

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


Find the LCM of 930, 166, 581, 529 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 930, 166, 581, 529. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,166,581,529

Given numbers are 930,166,581,529

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

The LCM of 930,166,581,529 is 285834570.

Find LCM of 930,166,581,529 with Prime Factorization


2 930, 166, 581, 529
83 465, 83, 581, 529
465, 1, 7, 529

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

2 x 83 x 465 x 1 x 7 x 529 = 285834570

Therefore, the lowest common multiple of 930,166,581,529 is 285834570.

LCM Formula to Find Lowest Common Multiple of 930,166,581,529

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.

930 x 166 x 581 x 529 = 47448538620

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

166 : 1, 2, 83, 166

581 : 1, 7, 83, 581

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,166,581,529, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

166:2x 83

581:7x 83

529:23x 23

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 47448538620/(1x166)

LCM = 47448538620/166

LCM = 285834570

Thus, we can understand that the LCM of 930,166,581,529 is 285834570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 166, 581, 529

1. What is the LCM of 930, 166, 581, 529?

Answer: LCM of 930, 166, 581, 529 is 285834570.

2. How to calculate the LCM of 930, 166, 581, 529?

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 930, 166, 581, 529.

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}.