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LCM of 998, 565, 339

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


Find the LCM of 998, 565, 339 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 998, 565, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,565,339

Given numbers are 998,565,339

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

The LCM of 998,565,339 is 1691610.

Find LCM of 998,565,339 with Prime Factorization


113 998, 565, 339
998, 5, 3

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

113 x 998 x 5 x 3 = 1691610

Therefore, the lowest common multiple of 998,565,339 is 1691610.

LCM Formula to Find Lowest Common Multiple of 998,565,339

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.

998 x 565 x 339 = 191151930

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.

998 : 1, 2, 499, 998

565 : 1, 5, 113, 565

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,565,339, is 1.

Now, the common factors can be found like this.

998:2x 499

565:5x 113

339:3x 113

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

113 = 113

Therefore, the value for common factors is 113.

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 = 191151930/(1x113)

LCM = 191151930/113

LCM = 1691610

Thus, we can understand that the LCM of 998,565,339 is 1691610.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 998, 565, 339

1. What is the LCM of 998, 565, 339?

Answer: LCM of 998, 565, 339 is 1691610.

2. How to calculate the LCM of 998, 565, 339?

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 998, 565, 339.

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}.