LCM of 630, 309, 413, 135, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 309, 413, 135, 567 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 630, 309, 413, 135, 567. So, keep reading to learn more.
Given numbers are 630,309,413,135,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,309,413,135,567 is 34456590.
Find LCM of 630,309,413,135,567 with Prime Factorization
| 3 | 630, 309, 413, 135, 567 |
| 3 | 210, 103, 413, 45, 189 |
| 3 | 70, 103, 413, 15, 63 |
| 5 | 70, 103, 413, 5, 21 |
| 7 | 14, 103, 413, 1, 21 |
| 2, 103, 59, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 2 x 103 x 59 x 1 x 3 = 34456590
Therefore, the lowest common multiple of 630,309,413,135,567 is 34456590.
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.
630 x 309 x 413 x 135 x 567 = 6154119256950
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
309 : 1, 3, 103, 309
413 : 1, 7, 59, 413
135 : 1, 3, 5, 9, 15, 27, 45, 135
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,309,413,135,567, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
309:3x 103
413:7x 59
135:3x 3x 3x 5
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 5x 7x 7 = 178605
Therefore, the value for common factors is 178605.
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 = 6154119256950/(1x178605)
LCM = 6154119256950/178605
LCM = 34456590
Thus, we can understand that the LCM of 630,309,413,135,567 is 34456590.
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FAQs on LCM of 630, 309, 413, 135, 567
1. What is the LCM of 630, 309, 413, 135, 567?
Answer: LCM of 630, 309, 413, 135, 567 is 34456590.
2. How to calculate the LCM of 630, 309, 413, 135, 567?
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 630, 309, 413, 135, 567.
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}.