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LCM of 689, 701, 599, 701

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


Find the LCM of 689, 701, 599, 701 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 689, 701, 599, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,701,599,701

Given numbers are 689,701,599,701

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

The LCM of 689,701,599,701 is 289310411.

Find LCM of 689,701,599,701 with Prime Factorization


701 689, 701, 599, 701
689, 1, 599, 1

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

701 x 689 x 1 x 599 x 1 = 289310411

Therefore, the lowest common multiple of 689,701,599,701 is 289310411.

LCM Formula to Find Lowest Common Multiple of 689,701,599,701

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.

689 x 701 x 599 x 701 = 202806598111

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.

689 : 1, 13, 53, 689

701 : 1, 701

599 : 1, 599

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,701,599,701, is 1.

Now, the common factors can be found like this.

689:13x 53

701:701

599:599

701:701

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

701 = 701

Therefore, the value for common factors is 701.

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 = 202806598111/(1x701)

LCM = 202806598111/701

LCM = 289310411

Thus, we can understand that the LCM of 689,701,599,701 is 289310411.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 701, 599, 701

1. What is the LCM of 689, 701, 599, 701?

Answer: LCM of 689, 701, 599, 701 is 289310411.

2. How to calculate the LCM of 689, 701, 599, 701?

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 689, 701, 599, 701.

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}.