LCM of 723, 464, 726, 782, 671
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 464, 726, 782, 671 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 723, 464, 726, 782, 671. So, keep reading to learn more.
Given numbers are 723,464,726,782,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,464,726,782,671 is 968162463312.
Find LCM of 723,464,726,782,671 with Prime Factorization
| 2 | 723, 464, 726, 782, 671 |
| 3 | 723, 232, 363, 391, 671 |
| 11 | 241, 232, 121, 391, 671 |
| 241, 232, 11, 391, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 241 x 232 x 11 x 391 x 61 = 968162463312
Therefore, the lowest common multiple of 723,464,726,782,671 is 968162463312.
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.
723 x 464 x 726 x 782 x 671 = 127797445157184
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.
723 : 1, 3, 241, 723
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
782 : 1, 2, 17, 23, 34, 46, 391, 782
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,464,726,782,671, is 1.
Now, the common factors can be found like this.
723:3x 241
464:2x 2x 2x 2x 29
726:2x 3x 11x 11
782:2x 17x 23
671:11x 61
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 127797445157184/(1x132)
LCM = 127797445157184/132
LCM = 968162463312
Thus, we can understand that the LCM of 723,464,726,782,671 is 968162463312.
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FAQs on LCM of 723, 464, 726, 782, 671
1. What is the LCM of 723, 464, 726, 782, 671?
Answer: LCM of 723, 464, 726, 782, 671 is 968162463312.
2. How to calculate the LCM of 723, 464, 726, 782, 671?
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 723, 464, 726, 782, 671.
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}.