LCM of 303, 998, 765, 169, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 998, 765, 169, 420 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, 998, 765, 169, 420. So, keep reading to learn more.
Given numbers are 303,998,765,169,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,998,765,169,420 is 182443372020.
Find LCM of 303,998,765,169,420 with Prime Factorization
| 2 | 303, 998, 765, 169, 420 |
| 3 | 303, 499, 765, 169, 210 |
| 5 | 101, 499, 255, 169, 70 |
| 101, 499, 51, 169, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 101 x 499 x 51 x 169 x 14 = 182443372020
Therefore, the lowest common multiple of 303,998,765,169,420 is 182443372020.
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 998 x 765 x 169 x 420 = 16419903481800
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
998 : 1, 2, 499, 998
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
169 : 1, 13, 169
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,998,765,169,420, is 1.
Now, the common factors can be found like this.
303:3x 101
998:2x 499
765:3x 3x 5x 17
169:13x 13
420:2x 2x 3x 5x 7
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 5 = 90
Therefore, the value for common factors is 90.
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 = 16419903481800/(1x90)
LCM = 16419903481800/90
LCM = 182443372020
Thus, we can understand that the LCM of 303,998,765,169,420 is 182443372020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 998, 765, 169, 420
1. What is the LCM of 303, 998, 765, 169, 420?
Answer: LCM of 303, 998, 765, 169, 420 is 182443372020.
2. How to calculate the LCM of 303, 998, 765, 169, 420?
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, 998, 765, 169, 420.
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}.