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LCM of 966, 321, 590, 665

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


Find the LCM of 966, 321, 590, 665 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 966, 321, 590, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,321,590,665

Given numbers are 966,321,590,665

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

The LCM of 966,321,590,665 is 579344010.

Find LCM of 966,321,590,665 with Prime Factorization


2 966, 321, 590, 665
3 483, 321, 295, 665
5 161, 107, 295, 665
7 161, 107, 59, 133
23, 107, 59, 19

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

2 x 3 x 5 x 7 x 23 x 107 x 59 x 19 = 579344010

Therefore, the lowest common multiple of 966,321,590,665 is 579344010.

LCM Formula to Find Lowest Common Multiple of 966,321,590,665

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.

966 x 321 x 590 x 665 = 121662242100

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

321 : 1, 3, 107, 321

590 : 1, 2, 5, 10, 59, 118, 295, 590

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,321,590,665, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

321:3x 107

590:2x 5x 59

665:5x 7x 19

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 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 121662242100/(1x210)

LCM = 121662242100/210

LCM = 579344010

Thus, we can understand that the LCM of 966,321,590,665 is 579344010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 321, 590, 665

1. What is the LCM of 966, 321, 590, 665?

Answer: LCM of 966, 321, 590, 665 is 579344010.

2. How to calculate the LCM of 966, 321, 590, 665?

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 966, 321, 590, 665.

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}.