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LCM of 667, 174, 179, 320, 997

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


Find the LCM of 667, 174, 179, 320, 997 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 667, 174, 179, 320, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,174,179,320,997

Given numbers are 667,174,179,320,997

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

The LCM of 667,174,179,320,997 is 114273428160.

Find LCM of 667,174,179,320,997 with Prime Factorization


2 667, 174, 179, 320, 997
29 667, 87, 179, 160, 997
23, 3, 179, 160, 997

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

2 x 29 x 23 x 3 x 179 x 160 x 997 = 114273428160

Therefore, the lowest common multiple of 667,174,179,320,997 is 114273428160.

LCM Formula to Find Lowest Common Multiple of 667,174,179,320,997

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.

667 x 174 x 179 x 320 x 997 = 6627858833280

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.

667 : 1, 23, 29, 667

174 : 1, 2, 3, 6, 29, 58, 87, 174

179 : 1, 179

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,174,179,320,997, is 1.

Now, the common factors can be found like this.

667:23x 29

174:2x 3x 29

179:179

320:2x 2x 2x 2x 2x 2x 5

997:997

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 6627858833280/(1x58)

LCM = 6627858833280/58

LCM = 114273428160

Thus, we can understand that the LCM of 667,174,179,320,997 is 114273428160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 174, 179, 320, 997

1. What is the LCM of 667, 174, 179, 320, 997?

Answer: LCM of 667, 174, 179, 320, 997 is 114273428160.

2. How to calculate the LCM of 667, 174, 179, 320, 997?

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 667, 174, 179, 320, 997.

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}.