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LCM of 601, 731, 910, 698

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


Find the LCM of 601, 731, 910, 698 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 601, 731, 910, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,731,910,698

Given numbers are 601,731,910,698

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

The LCM of 601,731,910,698 is 139527132290.

Find LCM of 601,731,910,698 with Prime Factorization


2 601, 731, 910, 698
601, 731, 455, 349

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

2 x 601 x 731 x 455 x 349 = 139527132290

Therefore, the lowest common multiple of 601,731,910,698 is 139527132290.

LCM Formula to Find Lowest Common Multiple of 601,731,910,698

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.

601 x 731 x 910 x 698 = 279054264580

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.

601 : 1, 601

731 : 1, 17, 43, 731

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,731,910,698, is 1.

Now, the common factors can be found like this.

601:601

731:17x 43

910:2x 5x 7x 13

698:2x 349

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 = 279054264580/(1x2)

LCM = 279054264580/2

LCM = 139527132290

Thus, we can understand that the LCM of 601,731,910,698 is 139527132290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 731, 910, 698

1. What is the LCM of 601, 731, 910, 698?

Answer: LCM of 601, 731, 910, 698 is 139527132290.

2. How to calculate the LCM of 601, 731, 910, 698?

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 601, 731, 910, 698.

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}.