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LCM of 790, 557, 604, 167, 667

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


Find the LCM of 790, 557, 604, 167, 667 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 790, 557, 604, 167, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,557,604,167,667

Given numbers are 790,557,604,167,667

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

The LCM of 790,557,604,167,667 is 14802379504340.

Find LCM of 790,557,604,167,667 with Prime Factorization


2 790, 557, 604, 167, 667
395, 557, 302, 167, 667

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

2 x 395 x 557 x 302 x 167 x 667 = 14802379504340

Therefore, the lowest common multiple of 790,557,604,167,667 is 14802379504340.

LCM Formula to Find Lowest Common Multiple of 790,557,604,167,667

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.

790 x 557 x 604 x 167 x 667 = 29604759008680

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

557 : 1, 557

604 : 1, 2, 4, 151, 302, 604

167 : 1, 167

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,557,604,167,667, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

557:557

604:2x 2x 151

167:167

667:23x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29604759008680/(1x2)

LCM = 29604759008680/2

LCM = 14802379504340

Thus, we can understand that the LCM of 790,557,604,167,667 is 14802379504340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 557, 604, 167, 667

1. What is the LCM of 790, 557, 604, 167, 667?

Answer: LCM of 790, 557, 604, 167, 667 is 14802379504340.

2. How to calculate the LCM of 790, 557, 604, 167, 667?

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 790, 557, 604, 167, 667.

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}.