LCM of 455, 432, 958, 580, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 432, 958, 580, 313 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 455, 432, 958, 580, 313. So, keep reading to learn more.
Given numbers are 455,432,958,580,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,432,958,580,313 is 854619882480.
Find LCM of 455,432,958,580,313 with Prime Factorization
| 2 | 455, 432, 958, 580, 313 |
| 2 | 455, 216, 479, 290, 313 |
| 5 | 455, 108, 479, 145, 313 |
| 91, 108, 479, 29, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 91 x 108 x 479 x 29 x 313 = 854619882480
Therefore, the lowest common multiple of 455,432,958,580,313 is 854619882480.
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.
455 x 432 x 958 x 580 x 313 = 34184795299200
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
958 : 1, 2, 479, 958
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,432,958,580,313, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
432:2x 2x 2x 2x 3x 3x 3
958:2x 479
580:2x 2x 5x 29
313:313
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 5 = 40
Therefore, the value for common factors is 40.
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 = 34184795299200/(1x40)
LCM = 34184795299200/40
LCM = 854619882480
Thus, we can understand that the LCM of 455,432,958,580,313 is 854619882480.
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FAQs on LCM of 455, 432, 958, 580, 313
1. What is the LCM of 455, 432, 958, 580, 313?
Answer: LCM of 455, 432, 958, 580, 313 is 854619882480.
2. How to calculate the LCM of 455, 432, 958, 580, 313?
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 455, 432, 958, 580, 313.
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}.