LCM of 845, 464, 830, 566, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 464, 830, 566, 498 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 845, 464, 830, 566, 498. So, keep reading to learn more.
Given numbers are 845,464,830,566,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,464,830,566,498 is 27628701360.
Find LCM of 845,464,830,566,498 with Prime Factorization
| 2 | 845, 464, 830, 566, 498 |
| 5 | 845, 232, 415, 283, 249 |
| 83 | 169, 232, 83, 283, 249 |
| 169, 232, 1, 283, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 83 x 169 x 232 x 1 x 283 x 3 = 27628701360
Therefore, the lowest common multiple of 845,464,830,566,498 is 27628701360.
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.
845 x 464 x 830 x 566 x 498 = 91727288515200
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.
845 : 1, 5, 13, 65, 169, 845
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
830 : 1, 2, 5, 10, 83, 166, 415, 830
566 : 1, 2, 283, 566
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,464,830,566,498, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
464:2x 2x 2x 2x 29
830:2x 5x 83
566:2x 283
498:2x 3x 83
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 5x 83 = 3320
Therefore, the value for common factors is 3320.
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 = 91727288515200/(1x3320)
LCM = 91727288515200/3320
LCM = 27628701360
Thus, we can understand that the LCM of 845,464,830,566,498 is 27628701360.
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FAQs on LCM of 845, 464, 830, 566, 498
1. What is the LCM of 845, 464, 830, 566, 498?
Answer: LCM of 845, 464, 830, 566, 498 is 27628701360.
2. How to calculate the LCM of 845, 464, 830, 566, 498?
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 845, 464, 830, 566, 498.
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}.