LCM of 874, 590, 413, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 590, 413, 805 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, 590, 413, 805. So, keep reading to learn more.
Given numbers are 874,590,413,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,590,413,805 is 1804810.
Find LCM of 874,590,413,805 with Prime Factorization
| 2 | 874, 590, 413, 805 |
| 5 | 437, 295, 413, 805 |
| 7 | 437, 59, 413, 161 |
| 23 | 437, 59, 59, 23 |
| 59 | 19, 59, 59, 1 |
| 19, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 23 x 59 x 19 x 1 x 1 x 1 = 1804810
Therefore, the lowest common multiple of 874,590,413,805 is 1804810.
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 590 x 413 x 805 = 171438901900
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
413 : 1, 7, 59, 413
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,590,413,805, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
590:2x 5x 59
413:7x 59
805:5x 7x 23
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 7x 23x 59 = 94990
Therefore, the value for common factors is 94990.
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 = 171438901900/(1x94990)
LCM = 171438901900/94990
LCM = 1804810
Thus, we can understand that the LCM of 874,590,413,805 is 1804810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 590, 413, 805
1. What is the LCM of 874, 590, 413, 805?
Answer: LCM of 874, 590, 413, 805 is 1804810.
2. How to calculate the LCM of 874, 590, 413, 805?
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, 590, 413, 805.
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}.