LCM of 590, 329, 478, 989, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 329, 478, 989, 893 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 590, 329, 478, 989, 893. So, keep reading to learn more.
Given numbers are 590,329,478,989,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,329,478,989,893 is 871757521390.
Find LCM of 590,329,478,989,893 with Prime Factorization
| 2 | 590, 329, 478, 989, 893 |
| 47 | 295, 329, 239, 989, 893 |
| 295, 7, 239, 989, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 295 x 7 x 239 x 989 x 19 = 871757521390
Therefore, the lowest common multiple of 590,329,478,989,893 is 871757521390.
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.
590 x 329 x 478 x 989 x 893 = 81945207010660
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
329 : 1, 7, 47, 329
478 : 1, 2, 239, 478
989 : 1, 23, 43, 989
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,329,478,989,893, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
329:7x 47
478:2x 239
989:23x 43
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 47 = 94
Therefore, the value for common factors is 94.
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 = 81945207010660/(1x94)
LCM = 81945207010660/94
LCM = 871757521390
Thus, we can understand that the LCM of 590,329,478,989,893 is 871757521390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 590, 329, 478, 989, 893
1. What is the LCM of 590, 329, 478, 989, 893?
Answer: LCM of 590, 329, 478, 989, 893 is 871757521390.
2. How to calculate the LCM of 590, 329, 478, 989, 893?
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 590, 329, 478, 989, 893.
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}.