LCM of 819, 210, 169, 594, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 210, 169, 594, 245 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 819, 210, 169, 594, 245. So, keep reading to learn more.
Given numbers are 819,210,169,594,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,210,169,594,245 is 24594570.
Find LCM of 819,210,169,594,245 with Prime Factorization
| 2 | 819, 210, 169, 594, 245 |
| 3 | 819, 105, 169, 297, 245 |
| 3 | 273, 35, 169, 99, 245 |
| 5 | 91, 35, 169, 33, 245 |
| 7 | 91, 7, 169, 33, 49 |
| 13 | 13, 1, 169, 33, 7 |
| 1, 1, 13, 33, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 13 x 1 x 1 x 13 x 33 x 7 = 24594570
Therefore, the lowest common multiple of 819,210,169,594,245 is 24594570.
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.
819 x 210 x 169 x 594 x 245 = 4230020094300
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
169 : 1, 13, 169
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,210,169,594,245, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
210:2x 3x 5x 7
169:13x 13
594:2x 3x 3x 3x 11
245:5x 7x 7
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 5x 7x 7x 13 = 171990
Therefore, the value for common factors is 171990.
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 = 4230020094300/(1x171990)
LCM = 4230020094300/171990
LCM = 24594570
Thus, we can understand that the LCM of 819,210,169,594,245 is 24594570.
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FAQs on LCM of 819, 210, 169, 594, 245
1. What is the LCM of 819, 210, 169, 594, 245?
Answer: LCM of 819, 210, 169, 594, 245 is 24594570.
2. How to calculate the LCM of 819, 210, 169, 594, 245?
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 819, 210, 169, 594, 245.
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}.