LCM of 303, 851, 319, 780, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 851, 319, 780, 481 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, 851, 319, 780, 481. So, keep reading to learn more.
Given numbers are 303,851,319,780,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,851,319,780,481 is 21386327820.
Find LCM of 303,851,319,780,481 with Prime Factorization
| 3 | 303, 851, 319, 780, 481 |
| 13 | 101, 851, 319, 260, 481 |
| 37 | 101, 851, 319, 20, 37 |
| 101, 23, 319, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 37 x 101 x 23 x 319 x 20 x 1 = 21386327820
Therefore, the lowest common multiple of 303,851,319,780,481 is 21386327820.
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 851 x 319 x 780 x 481 = 30860471044260
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
851 : 1, 23, 37, 851
319 : 1, 11, 29, 319
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,851,319,780,481, is 1.
Now, the common factors can be found like this.
303:3x 101
851:23x 37
319:11x 29
780:2x 2x 3x 5x 13
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 37 = 1443
Therefore, the value for common factors is 1443.
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 = 30860471044260/(1x1443)
LCM = 30860471044260/1443
LCM = 21386327820
Thus, we can understand that the LCM of 303,851,319,780,481 is 21386327820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 851, 319, 780, 481
1. What is the LCM of 303, 851, 319, 780, 481?
Answer: LCM of 303, 851, 319, 780, 481 is 21386327820.
2. How to calculate the LCM of 303, 851, 319, 780, 481?
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, 851, 319, 780, 481.
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}.