LCM of 303, 440, 591, 465, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 440, 591, 465, 456 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, 440, 591, 465, 456. So, keep reading to learn more.
Given numbers are 303,440,591,465,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,440,591,465,456 is 15469519560.
Find LCM of 303,440,591,465,456 with Prime Factorization
| 2 | 303, 440, 591, 465, 456 |
| 2 | 303, 220, 591, 465, 228 |
| 2 | 303, 110, 591, 465, 114 |
| 3 | 303, 55, 591, 465, 57 |
| 5 | 101, 55, 197, 155, 19 |
| 101, 11, 197, 31, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 101 x 11 x 197 x 31 x 19 = 15469519560
Therefore, the lowest common multiple of 303,440,591,465,456 is 15469519560.
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 440 x 591 x 465 x 456 = 16707081124800
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
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
591 : 1, 3, 197, 591
465 : 1, 3, 5, 15, 31, 93, 155, 465
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,440,591,465,456, is 1.
Now, the common factors can be found like this.
303:3x 101
440:2x 2x 2x 5x 11
591:3x 197
465:3x 5x 31
456:2x 2x 2x 3x 19
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 2x 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 16707081124800/(1x1080)
LCM = 16707081124800/1080
LCM = 15469519560
Thus, we can understand that the LCM of 303,440,591,465,456 is 15469519560.
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FAQs on LCM of 303, 440, 591, 465, 456
1. What is the LCM of 303, 440, 591, 465, 456?
Answer: LCM of 303, 440, 591, 465, 456 is 15469519560.
2. How to calculate the LCM of 303, 440, 591, 465, 456?
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, 440, 591, 465, 456.
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}.