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LCM of 874, 605, 855, 590

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


Find the LCM of 874, 605, 855, 590 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 874, 605, 855, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,605,855,590

Given numbers are 874,605,855,590

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

The LCM of 874,605,855,590 is 280776870.

Find LCM of 874,605,855,590 with Prime Factorization


2 874, 605, 855, 590
5 437, 605, 855, 295
19 437, 121, 171, 59
23, 121, 9, 59

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

2 x 5 x 19 x 23 x 121 x 9 x 59 = 280776870

Therefore, the lowest common multiple of 874,605,855,590 is 280776870.

LCM Formula to Find Lowest Common Multiple of 874,605,855,590

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.

874 x 605 x 855 x 590 = 266738026500

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

605 : 1, 5, 11, 55, 121, 605

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,605,855,590, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

605:5x 11x 11

855:3x 3x 5x 19

590:2x 5x 59

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

2x 5x 5x 19 = 950

Therefore, the value for common factors is 950.

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 = 266738026500/(1x950)

LCM = 266738026500/950

LCM = 280776870

Thus, we can understand that the LCM of 874,605,855,590 is 280776870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 605, 855, 590

1. What is the LCM of 874, 605, 855, 590?

Answer: LCM of 874, 605, 855, 590 is 280776870.

2. How to calculate the LCM of 874, 605, 855, 590?

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 874, 605, 855, 590.

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}.