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LCM of 685, 579, 516, 101, 177

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


Find the LCM of 685, 579, 516, 101, 177 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 685, 579, 516, 101, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 685,579,516,101,177

Given numbers are 685,579,516,101,177

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

The LCM of 685,579,516,101,177 is 406509751020.

Find LCM of 685,579,516,101,177 with Prime Factorization


3 685, 579, 516, 101, 177
685, 193, 172, 101, 59

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

3 x 685 x 193 x 172 x 101 x 59 = 406509751020

Therefore, the lowest common multiple of 685,579,516,101,177 is 406509751020.

LCM Formula to Find Lowest Common Multiple of 685,579,516,101,177

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.

685 x 579 x 516 x 101 x 177 = 3658587759180

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.

685 : 1, 5, 137, 685

579 : 1, 3, 193, 579

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

101 : 1, 101

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,579,516,101,177, is 1.

Now, the common factors can be found like this.

685:5x 137

579:3x 193

516:2x 2x 3x 43

101:101

177:3x 59

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 3658587759180/(1x9)

LCM = 3658587759180/9

LCM = 406509751020

Thus, we can understand that the LCM of 685,579,516,101,177 is 406509751020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 685, 579, 516, 101, 177

1. What is the LCM of 685, 579, 516, 101, 177?

Answer: LCM of 685, 579, 516, 101, 177 is 406509751020.

2. How to calculate the LCM of 685, 579, 516, 101, 177?

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 685, 579, 516, 101, 177.

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}.