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LCM of 339, 775, 465, 698

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


Find the LCM of 339, 775, 465, 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 339, 775, 465, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,775,465,698

Given numbers are 339,775,465,698

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

The LCM of 339,775,465,698 is 183382050.

Find LCM of 339,775,465,698 with Prime Factorization


3 339, 775, 465, 698
5 113, 775, 155, 698
31 113, 31, 155, 698
113, 1, 5, 698

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

3 x 5 x 31 x 113 x 1 x 5 x 698 = 183382050

Therefore, the lowest common multiple of 339,775,465,698 is 183382050.

LCM Formula to Find Lowest Common Multiple of 339,775,465,698

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.

339 x 775 x 465 x 698 = 85272653250

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.

339 : 1, 3, 113, 339

775 : 1, 5, 25, 31, 155, 775

465 : 1, 3, 5, 15, 31, 93, 155, 465

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,775,465,698, is 1.

Now, the common factors can be found like this.

339:3x 113

775:5x 5x 31

465:3x 5x 31

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.

3x 5x 31 = 465

Therefore, the value for common factors is 465.

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 = 85272653250/(1x465)

LCM = 85272653250/465

LCM = 183382050

Thus, we can understand that the LCM of 339,775,465,698 is 183382050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 775, 465, 698

1. What is the LCM of 339, 775, 465, 698?

Answer: LCM of 339, 775, 465, 698 is 183382050.

2. How to calculate the LCM of 339, 775, 465, 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 339, 775, 465, 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}.