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LCM of 930, 657, 873, 365, 406

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


Find the LCM of 930, 657, 873, 365, 406 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, 657, 873, 365, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,657,873,365,406

Given numbers are 930,657,873,365,406

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

The LCM of 930,657,873,365,406 is 4010465970.

Find LCM of 930,657,873,365,406 with Prime Factorization


2 930, 657, 873, 365, 406
3 465, 657, 873, 365, 203
3 155, 219, 291, 365, 203
5 155, 73, 97, 365, 203
73 31, 73, 97, 73, 203
31, 1, 97, 1, 203

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

2 x 3 x 3 x 5 x 73 x 31 x 1 x 97 x 1 x 203 = 4010465970

Therefore, the lowest common multiple of 930,657,873,365,406 is 4010465970.

LCM Formula to Find Lowest Common Multiple of 930,657,873,365,406

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 657 x 873 x 365 x 406 = 79046284268700

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

657 : 1, 3, 9, 73, 219, 657

873 : 1, 3, 9, 97, 291, 873

365 : 1, 5, 73, 365

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,657,873,365,406, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

657:3x 3x 73

873:3x 3x 97

365:5x 73

406:2x 7x 29

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 3x 3x 5x 73 = 19710

Therefore, the value for common factors is 19710.

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 = 79046284268700/(1x19710)

LCM = 79046284268700/19710

LCM = 4010465970

Thus, we can understand that the LCM of 930,657,873,365,406 is 4010465970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 657, 873, 365, 406

1. What is the LCM of 930, 657, 873, 365, 406?

Answer: LCM of 930, 657, 873, 365, 406 is 4010465970.

2. How to calculate the LCM of 930, 657, 873, 365, 406?

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, 657, 873, 365, 406.

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}.