LCM of 726, 322, 529, 878, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 726, 322, 529, 878, 768 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 726, 322, 529, 878, 768. So, keep reading to learn more.
Given numbers are 726,322,529,878,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,322,529,878,768 is 151065336576.
Find LCM of 726,322,529,878,768 with Prime Factorization
| 2 | 726, 322, 529, 878, 768 |
| 3 | 363, 161, 529, 439, 384 |
| 23 | 121, 161, 529, 439, 128 |
| 121, 7, 23, 439, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 121 x 7 x 23 x 439 x 128 = 151065336576
Therefore, the lowest common multiple of 726,322,529,878,768 is 151065336576.
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.
726 x 322 x 529 x 878 x 768 = 83388065789952
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
322 : 1, 2, 7, 14, 23, 46, 161, 322
529 : 1, 23, 529
878 : 1, 2, 439, 878
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,322,529,878,768, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
322:2x 7x 23
529:23x 23
878:2x 439
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 83388065789952/(1x552)
LCM = 83388065789952/552
LCM = 151065336576
Thus, we can understand that the LCM of 726,322,529,878,768 is 151065336576.
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FAQs on LCM of 726, 322, 529, 878, 768
1. What is the LCM of 726, 322, 529, 878, 768?
Answer: LCM of 726, 322, 529, 878, 768 is 151065336576.
2. How to calculate the LCM of 726, 322, 529, 878, 768?
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 726, 322, 529, 878, 768.
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}.