LCM of 579, 506, 622, 207, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 506, 622, 207, 733 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 579, 506, 622, 207, 733. So, keep reading to learn more.
Given numbers are 579,506,622,207,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,506,622,207,733 is 200361695886.
Find LCM of 579,506,622,207,733 with Prime Factorization
| 2 | 579, 506, 622, 207, 733 |
| 3 | 579, 253, 311, 207, 733 |
| 23 | 193, 253, 311, 69, 733 |
| 193, 11, 311, 3, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 193 x 11 x 311 x 3 x 733 = 200361695886
Therefore, the lowest common multiple of 579,506,622,207,733 is 200361695886.
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.
579 x 506 x 622 x 207 x 733 = 27649914032268
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.
579 : 1, 3, 193, 579
506 : 1, 2, 11, 22, 23, 46, 253, 506
622 : 1, 2, 311, 622
207 : 1, 3, 9, 23, 69, 207
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,506,622,207,733, is 1.
Now, the common factors can be found like this.
579:3x 193
506:2x 11x 23
622:2x 311
207:3x 3x 23
733:733
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 23 = 138
Therefore, the value for common factors is 138.
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 = 27649914032268/(1x138)
LCM = 27649914032268/138
LCM = 200361695886
Thus, we can understand that the LCM of 579,506,622,207,733 is 200361695886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 506, 622, 207, 733
1. What is the LCM of 579, 506, 622, 207, 733?
Answer: LCM of 579, 506, 622, 207, 733 is 200361695886.
2. How to calculate the LCM of 579, 506, 622, 207, 733?
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 579, 506, 622, 207, 733.
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}.