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LCM of 339, 247, 676, 875

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


Find the LCM of 339, 247, 676, 875 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, 247, 676, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,247,676,875

Given numbers are 339,247,676,875

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

The LCM of 339,247,676,875 is 3809851500.

Find LCM of 339,247,676,875 with Prime Factorization


13 339, 247, 676, 875
339, 19, 52, 875

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

13 x 339 x 19 x 52 x 875 = 3809851500

Therefore, the lowest common multiple of 339,247,676,875 is 3809851500.

LCM Formula to Find Lowest Common Multiple of 339,247,676,875

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 247 x 676 x 875 = 49528069500

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

247 : 1, 13, 19, 247

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,247,676,875, is 1.

Now, the common factors can be found like this.

339:3x 113

247:13x 19

676:2x 2x 13x 13

875:5x 5x 5x 7

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

13 = 13

Therefore, the value for common factors is 13.

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 = 49528069500/(1x13)

LCM = 49528069500/13

LCM = 3809851500

Thus, we can understand that the LCM of 339,247,676,875 is 3809851500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 247, 676, 875

1. What is the LCM of 339, 247, 676, 875?

Answer: LCM of 339, 247, 676, 875 is 3809851500.

2. How to calculate the LCM of 339, 247, 676, 875?

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, 247, 676, 875.

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}.