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LCM of 616, 876, 804, 138, 301

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


Find the LCM of 616, 876, 804, 138, 301 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 616, 876, 804, 138, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,876,804,138,301

Given numbers are 616,876,804,138,301

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

The LCM of 616,876,804,138,301 is 8939143752.

Find LCM of 616,876,804,138,301 with Prime Factorization


2 616, 876, 804, 138, 301
2 308, 438, 402, 69, 301
3 154, 219, 201, 69, 301
7 154, 73, 67, 23, 301
22, 73, 67, 23, 43

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

2 x 2 x 3 x 7 x 22 x 73 x 67 x 23 x 43 = 8939143752

Therefore, the lowest common multiple of 616,876,804,138,301 is 8939143752.

LCM Formula to Find Lowest Common Multiple of 616,876,804,138,301

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.

616 x 876 x 804 x 138 x 301 = 18021313804032

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

138 : 1, 2, 3, 6, 23, 46, 69, 138

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,876,804,138,301, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

876:2x 2x 3x 73

804:2x 2x 3x 67

138:2x 3x 23

301:7x 43

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 2x 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 18021313804032/(1x2016)

LCM = 18021313804032/2016

LCM = 8939143752

Thus, we can understand that the LCM of 616,876,804,138,301 is 8939143752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 876, 804, 138, 301

1. What is the LCM of 616, 876, 804, 138, 301?

Answer: LCM of 616, 876, 804, 138, 301 is 8939143752.

2. How to calculate the LCM of 616, 876, 804, 138, 301?

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 616, 876, 804, 138, 301.

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}.