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LCM of 100, 363, 981, 339

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


Find the LCM of 100, 363, 981, 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 100, 363, 981, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 100,363,981,339

Given numbers are 100,363,981,339

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

The LCM of 100,363,981,339 is 1341321300.

Find LCM of 100,363,981,339 with Prime Factorization


3 100, 363, 981, 339
100, 121, 327, 113

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

3 x 100 x 121 x 327 x 113 = 1341321300

Therefore, the lowest common multiple of 100,363,981,339 is 1341321300.

LCM Formula to Find Lowest Common Multiple of 100,363,981,339

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.

100 x 363 x 981 x 339 = 12071891700

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

363 : 1, 3, 11, 33, 121, 363

981 : 1, 3, 9, 109, 327, 981

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,363,981,339, is 1.

Now, the common factors can be found like this.

100:2x 2x 5x 5

363:3x 11x 11

981:3x 3x 109

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 12071891700/(1x9)

LCM = 12071891700/9

LCM = 1341321300

Thus, we can understand that the LCM of 100,363,981,339 is 1341321300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 100, 363, 981, 339

1. What is the LCM of 100, 363, 981, 339?

Answer: LCM of 100, 363, 981, 339 is 1341321300.

2. How to calculate the LCM of 100, 363, 981, 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 100, 363, 981, 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}.