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LCM of 855, 715, 987, 355, 918

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


Find the LCM of 855, 715, 987, 355, 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 855, 715, 987, 355, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,715,987,355,918

Given numbers are 855,715,987,355,918

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

The LCM of 855,715,987,355,918 is 291310789770.

Find LCM of 855,715,987,355,918 with Prime Factorization


3 855, 715, 987, 355, 918
3 285, 715, 329, 355, 306
5 95, 715, 329, 355, 102
19, 143, 329, 71, 102

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

3 x 3 x 5 x 19 x 143 x 329 x 71 x 102 = 291310789770

Therefore, the lowest common multiple of 855,715,987,355,918 is 291310789770.

LCM Formula to Find Lowest Common Multiple of 855,715,987,355,918

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.

855 x 715 x 987 x 355 x 918 = 196634783094750

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

715 : 1, 5, 11, 13, 55, 65, 143, 715

987 : 1, 3, 7, 21, 47, 141, 329, 987

355 : 1, 5, 71, 355

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 855,715,987,355,918, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

715:5x 11x 13

987:3x 7x 47

355:5x 71

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.

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 196634783094750/(1x675)

LCM = 196634783094750/675

LCM = 291310789770

Thus, we can understand that the LCM of 855,715,987,355,918 is 291310789770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 715, 987, 355, 918

1. What is the LCM of 855, 715, 987, 355, 918?

Answer: LCM of 855, 715, 987, 355, 918 is 291310789770.

2. How to calculate the LCM of 855, 715, 987, 355, 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 855, 715, 987, 355, 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}.