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LCM of 261, 878, 616, 504, 109

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


Find the LCM of 261, 878, 616, 504, 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 261, 878, 616, 504, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,878,616,504,109

Given numbers are 261,878,616,504,109

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

The LCM of 261,878,616,504,109 is 7693292376.

Find LCM of 261,878,616,504,109 with Prime Factorization


2 261, 878, 616, 504, 109
2 261, 439, 308, 252, 109
2 261, 439, 154, 126, 109
3 261, 439, 77, 63, 109
3 87, 439, 77, 21, 109
7 29, 439, 77, 7, 109
29, 439, 11, 1, 109

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

2 x 2 x 2 x 3 x 3 x 7 x 29 x 439 x 11 x 1 x 109 = 7693292376

Therefore, the lowest common multiple of 261,878,616,504,109 is 7693292376.

LCM Formula to Find Lowest Common Multiple of 261,878,616,504,109

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.

261 x 878 x 616 x 504 x 109 = 7754838715008

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.

261 : 1, 3, 9, 29, 87, 261

878 : 1, 2, 439, 878

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,878,616,504,109, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

878:2x 439

616:2x 2x 2x 7x 11

504:2x 2x 2x 3x 3x 7

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 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 7754838715008/(1x1008)

LCM = 7754838715008/1008

LCM = 7693292376

Thus, we can understand that the LCM of 261,878,616,504,109 is 7693292376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 878, 616, 504, 109

1. What is the LCM of 261, 878, 616, 504, 109?

Answer: LCM of 261, 878, 616, 504, 109 is 7693292376.

2. How to calculate the LCM of 261, 878, 616, 504, 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 261, 878, 616, 504, 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}.