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LCM of 910, 876, 697, 381, 918

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


Find the LCM of 910, 876, 697, 381, 918 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 910, 876, 697, 381, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,876,697,381,918

Given numbers are 910,876,697,381,918

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

The LCM of 910,876,697,381,918 is 317537127180.

Find LCM of 910,876,697,381,918 with Prime Factorization


2 910, 876, 697, 381, 918
3 455, 438, 697, 381, 459
17 455, 146, 697, 127, 153
455, 146, 41, 127, 9

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

2 x 3 x 17 x 455 x 146 x 41 x 127 x 9 = 317537127180

Therefore, the lowest common multiple of 910,876,697,381,918 is 317537127180.

LCM Formula to Find Lowest Common Multiple of 910,876,697,381,918

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.

910 x 876 x 697 x 381 x 918 = 194332721834160

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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

697 : 1, 17, 41, 697

381 : 1, 3, 127, 381

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,876,697,381,918, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

876:2x 2x 3x 73

697:17x 41

381:3x 127

918:2x 3x 3x 3x 17

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 194332721834160/(1x612)

LCM = 194332721834160/612

LCM = 317537127180

Thus, we can understand that the LCM of 910,876,697,381,918 is 317537127180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 876, 697, 381, 918

1. What is the LCM of 910, 876, 697, 381, 918?

Answer: LCM of 910, 876, 697, 381, 918 is 317537127180.

2. How to calculate the LCM of 910, 876, 697, 381, 918?

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 910, 876, 697, 381, 918.

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}.