LCM of 303, 606, 359, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 606, 359, 510 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 303, 606, 359, 510. So, keep reading to learn more.
Given numbers are 303,606,359,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,606,359,510 is 18492090.
Find LCM of 303,606,359,510 with Prime Factorization
| 2 | 303, 606, 359, 510 |
| 3 | 303, 303, 359, 255 |
| 101 | 101, 101, 359, 85 |
| 1, 1, 359, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 1 x 1 x 359 x 85 = 18492090
Therefore, the lowest common multiple of 303,606,359,510 is 18492090.
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.
303 x 606 x 359 x 510 = 33618619620
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.
303 : 1, 3, 101, 303
606 : 1, 2, 3, 6, 101, 202, 303, 606
359 : 1, 359
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,606,359,510, is 1.
Now, the common factors can be found like this.
303:3x 101
606:2x 3x 101
359:359
510:2x 3x 5x 17
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 101 = 1818
Therefore, the value for common factors is 1818.
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 = 33618619620/(1x1818)
LCM = 33618619620/1818
LCM = 18492090
Thus, we can understand that the LCM of 303,606,359,510 is 18492090.
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FAQs on LCM of 303, 606, 359, 510
1. What is the LCM of 303, 606, 359, 510?
Answer: LCM of 303, 606, 359, 510 is 18492090.
2. How to calculate the LCM of 303, 606, 359, 510?
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 303, 606, 359, 510.
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}.