LCM of 431, 464, 487, 848, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 464, 487, 848, 998 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 431, 464, 487, 848, 998. So, keep reading to learn more.
Given numbers are 431,464,487,848,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,464,487,848,998 is 2575731724976.
Find LCM of 431,464,487,848,998 with Prime Factorization
| 2 | 431, 464, 487, 848, 998 |
| 2 | 431, 232, 487, 424, 499 |
| 2 | 431, 116, 487, 212, 499 |
| 2 | 431, 58, 487, 106, 499 |
| 431, 29, 487, 53, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 431 x 29 x 487 x 53 x 499 = 2575731724976
Therefore, the lowest common multiple of 431,464,487,848,998 is 2575731724976.
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.
431 x 464 x 487 x 848 x 998 = 82423415199232
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.
431 : 1, 431
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
487 : 1, 487
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,464,487,848,998, is 1.
Now, the common factors can be found like this.
431:431
464:2x 2x 2x 2x 29
487:487
848:2x 2x 2x 2x 53
998:2x 499
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 82423415199232/(1x32)
LCM = 82423415199232/32
LCM = 2575731724976
Thus, we can understand that the LCM of 431,464,487,848,998 is 2575731724976.
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FAQs on LCM of 431, 464, 487, 848, 998
1. What is the LCM of 431, 464, 487, 848, 998?
Answer: LCM of 431, 464, 487, 848, 998 is 2575731724976.
2. How to calculate the LCM of 431, 464, 487, 848, 998?
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 431, 464, 487, 848, 998.
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}.