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LCM of 522, 648, 578, 930

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


Find the LCM of 522, 648, 578, 930 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 522, 648, 578, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,648,578,930

Given numbers are 522,648,578,930

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

The LCM of 522,648,578,930 is 841787640.

Find LCM of 522,648,578,930 with Prime Factorization


2 522, 648, 578, 930
3 261, 324, 289, 465
3 87, 108, 289, 155
29, 36, 289, 155

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

2 x 3 x 3 x 29 x 36 x 289 x 155 = 841787640

Therefore, the lowest common multiple of 522,648,578,930 is 841787640.

LCM Formula to Find Lowest Common Multiple of 522,648,578,930

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.

522 x 648 x 578 x 930 = 181826130240

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

578 : 1, 2, 17, 34, 289, 578

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,648,578,930, is 2.

Now, the common factors can be found like this.

522:2x 3x 3x 29

648:2x 2x 2x 3x 3x 3x 3

578:2x 17x 17

930:2x 3x 5x 31

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 181826130240/(2x108)

LCM = 181826130240/216

LCM = 841787640

Thus, we can understand that the LCM of 522,648,578,930 is 841787640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 522, 648, 578, 930

1. What is the LCM of 522, 648, 578, 930?

Answer: LCM of 522, 648, 578, 930 is 841787640.

2. How to calculate the LCM of 522, 648, 578, 930?

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 522, 648, 578, 930.

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}.