LCM of 468, 578, 646, 617, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 578, 646, 617, 836 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 468, 578, 646, 617, 836. So, keep reading to learn more.
Given numbers are 468,578,646,617,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,578,646,617,836 is 17441151156.
Find LCM of 468,578,646,617,836 with Prime Factorization
| 2 | 468, 578, 646, 617, 836 |
| 2 | 234, 289, 323, 617, 418 |
| 17 | 117, 289, 323, 617, 209 |
| 19 | 117, 17, 19, 617, 209 |
| 117, 17, 1, 617, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 19 x 117 x 17 x 1 x 617 x 11 = 17441151156
Therefore, the lowest common multiple of 468,578,646,617,836 is 17441151156.
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.
468 x 578 x 646 x 617 x 836 = 90135869174208
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
578 : 1, 2, 17, 34, 289, 578
646 : 1, 2, 17, 19, 34, 38, 323, 646
617 : 1, 617
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,578,646,617,836, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
578:2x 17x 17
646:2x 17x 19
617:617
836:2x 2x 11x 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 2x 17x 19 = 5168
Therefore, the value for common factors is 5168.
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 = 90135869174208/(1x5168)
LCM = 90135869174208/5168
LCM = 17441151156
Thus, we can understand that the LCM of 468,578,646,617,836 is 17441151156.
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FAQs on LCM of 468, 578, 646, 617, 836
1. What is the LCM of 468, 578, 646, 617, 836?
Answer: LCM of 468, 578, 646, 617, 836 is 17441151156.
2. How to calculate the LCM of 468, 578, 646, 617, 836?
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 468, 578, 646, 617, 836.
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}.