LCM of 668, 756, 578, 835, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 756, 578, 835, 217 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 668, 756, 578, 835, 217. So, keep reading to learn more.
Given numbers are 668,756,578,835,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,756,578,835,217 is 5655458340.
Find LCM of 668,756,578,835,217 with Prime Factorization
| 2 | 668, 756, 578, 835, 217 |
| 2 | 334, 378, 289, 835, 217 |
| 7 | 167, 189, 289, 835, 217 |
| 167 | 167, 27, 289, 835, 31 |
| 1, 27, 289, 5, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 167 x 1 x 27 x 289 x 5 x 31 = 5655458340
Therefore, the lowest common multiple of 668,756,578,835,217 is 5655458340.
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.
668 x 756 x 578 x 835 x 217 = 52889846395680
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.
668 : 1, 2, 4, 167, 334, 668
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
578 : 1, 2, 17, 34, 289, 578
835 : 1, 5, 167, 835
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,756,578,835,217, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
756:2x 2x 3x 3x 3x 7
578:2x 17x 17
835:5x 167
217:7x 31
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 7x 167 = 9352
Therefore, the value for common factors is 9352.
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 = 52889846395680/(1x9352)
LCM = 52889846395680/9352
LCM = 5655458340
Thus, we can understand that the LCM of 668,756,578,835,217 is 5655458340.
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FAQs on LCM of 668, 756, 578, 835, 217
1. What is the LCM of 668, 756, 578, 835, 217?
Answer: LCM of 668, 756, 578, 835, 217 is 5655458340.
2. How to calculate the LCM of 668, 756, 578, 835, 217?
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 668, 756, 578, 835, 217.
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}.