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LCM of 133, 824, 676, 218, 109

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


Find the LCM of 133, 824, 676, 218, 109 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 133, 824, 676, 218, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,824,676,218,109

Given numbers are 133,824,676,218,109

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

The LCM of 133,824,676,218,109 is 2018794232.

Find LCM of 133,824,676,218,109 with Prime Factorization


2 133, 824, 676, 218, 109
2 133, 412, 338, 109, 109
109 133, 206, 169, 109, 109
133, 206, 169, 1, 1

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

2 x 2 x 109 x 133 x 206 x 169 x 1 x 1 = 2018794232

Therefore, the lowest common multiple of 133,824,676,218,109 is 2018794232.

LCM Formula to Find Lowest Common Multiple of 133,824,676,218,109

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.

133 x 824 x 676 x 218 x 109 = 1760388570304

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.

133 : 1, 7, 19, 133

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

218 : 1, 2, 109, 218

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,824,676,218,109, is 1.

Now, the common factors can be found like this.

133:7x 19

824:2x 2x 2x 103

676:2x 2x 13x 13

218:2x 109

109:109

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

2x 2x 2x 109 = 872

Therefore, the value for common factors is 872.

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 = 1760388570304/(1x872)

LCM = 1760388570304/872

LCM = 2018794232

Thus, we can understand that the LCM of 133,824,676,218,109 is 2018794232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 824, 676, 218, 109

1. What is the LCM of 133, 824, 676, 218, 109?

Answer: LCM of 133, 824, 676, 218, 109 is 2018794232.

2. How to calculate the LCM of 133, 824, 676, 218, 109?

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 133, 824, 676, 218, 109.

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}.