LCM of 630, 806, 993, 509, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 806, 993, 509, 308 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, 806, 993, 509, 308. So, keep reading to learn more.
Given numbers are 630,806,993,509,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,806,993,509,308 is 941052932820.
Find LCM of 630,806,993,509,308 with Prime Factorization
| 2 | 630, 806, 993, 509, 308 |
| 3 | 315, 403, 993, 509, 154 |
| 7 | 105, 403, 331, 509, 154 |
| 15, 403, 331, 509, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 15 x 403 x 331 x 509 x 22 = 941052932820
Therefore, the lowest common multiple of 630,806,993,509,308 is 941052932820.
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 806 x 993 x 509 x 308 = 79048446356880
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
993 : 1, 3, 331, 993
509 : 1, 509
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,806,993,509,308, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
806:2x 13x 31
993:3x 331
509:509
308:2x 2x 7x 11
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 79048446356880/(1x84)
LCM = 79048446356880/84
LCM = 941052932820
Thus, we can understand that the LCM of 630,806,993,509,308 is 941052932820.
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FAQs on LCM of 630, 806, 993, 509, 308
1. What is the LCM of 630, 806, 993, 509, 308?
Answer: LCM of 630, 806, 993, 509, 308 is 941052932820.
2. How to calculate the LCM of 630, 806, 993, 509, 308?
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, 806, 993, 509, 308.
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}.