LCM of 621, 589, 190, 788, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 589, 190, 788, 837 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 621, 589, 190, 788, 837. So, keep reading to learn more.
Given numbers are 621,589,190,788,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,589,190,788,837 is 1441129860.
Find LCM of 621,589,190,788,837 with Prime Factorization
| 2 | 621, 589, 190, 788, 837 |
| 3 | 621, 589, 95, 394, 837 |
| 3 | 207, 589, 95, 394, 279 |
| 3 | 69, 589, 95, 394, 93 |
| 19 | 23, 589, 95, 394, 31 |
| 31 | 23, 31, 5, 394, 31 |
| 23, 1, 5, 394, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 31 x 23 x 1 x 5 x 394 x 1 = 1441129860
Therefore, the lowest common multiple of 621,589,190,788,837 is 1441129860.
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.
621 x 589 x 190 x 788 x 837 = 45836576327160
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
589 : 1, 19, 31, 589
190 : 1, 2, 5, 10, 19, 38, 95, 190
788 : 1, 2, 4, 197, 394, 788
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,589,190,788,837, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
589:19x 31
190:2x 5x 19
788:2x 2x 197
837:3x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 19x 31 = 31806
Therefore, the value for common factors is 31806.
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 = 45836576327160/(1x31806)
LCM = 45836576327160/31806
LCM = 1441129860
Thus, we can understand that the LCM of 621,589,190,788,837 is 1441129860.
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FAQs on LCM of 621, 589, 190, 788, 837
1. What is the LCM of 621, 589, 190, 788, 837?
Answer: LCM of 621, 589, 190, 788, 837 is 1441129860.
2. How to calculate the LCM of 621, 589, 190, 788, 837?
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 621, 589, 190, 788, 837.
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}.