LCM of 210, 580, 658, 886, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 580, 658, 886, 822 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 210, 580, 658, 886, 822. So, keep reading to learn more.
Given numbers are 210,580,658,886,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,580,658,886,822 is 34743169860.
Find LCM of 210,580,658,886,822 with Prime Factorization
| 2 | 210, 580, 658, 886, 822 |
| 3 | 105, 290, 329, 443, 411 |
| 5 | 35, 290, 329, 443, 137 |
| 7 | 7, 58, 329, 443, 137 |
| 1, 58, 47, 443, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 58 x 47 x 443 x 137 = 34743169860
Therefore, the lowest common multiple of 210,580,658,886,822 is 34743169860.
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.
210 x 580 x 658 x 886 x 822 = 58368525364800
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
658 : 1, 2, 7, 14, 47, 94, 329, 658
886 : 1, 2, 443, 886
822 : 1, 2, 3, 6, 137, 274, 411, 822
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,580,658,886,822, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
580:2x 2x 5x 29
658:2x 7x 47
886:2x 443
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 7 = 840
Therefore, the value for common factors is 840.
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 = 58368525364800/(2x840)
LCM = 58368525364800/1680
LCM = 34743169860
Thus, we can understand that the LCM of 210,580,658,886,822 is 34743169860.
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FAQs on LCM of 210, 580, 658, 886, 822
1. What is the LCM of 210, 580, 658, 886, 822?
Answer: LCM of 210, 580, 658, 886, 822 is 34743169860.
2. How to calculate the LCM of 210, 580, 658, 886, 822?
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 210, 580, 658, 886, 822.
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}.