LCM of 723, 807, 408, 480, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 807, 408, 480, 887 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, 807, 408, 480, 887. So, keep reading to learn more.
Given numbers are 723,807,408,480,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,807,408,480,887 is 469227115680.
Find LCM of 723,807,408,480,887 with Prime Factorization
| 2 | 723, 807, 408, 480, 887 |
| 2 | 723, 807, 204, 240, 887 |
| 2 | 723, 807, 102, 120, 887 |
| 3 | 723, 807, 51, 60, 887 |
| 241, 269, 17, 20, 887 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 241 x 269 x 17 x 20 x 887 = 469227115680
Therefore, the lowest common multiple of 723,807,408,480,887 is 469227115680.
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 807 x 408 x 480 x 887 = 101353056986880
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
807 : 1, 3, 269, 807
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,807,408,480,887, is 1.
Now, the common factors can be found like this.
723:3x 241
807:3x 269
408:2x 2x 2x 3x 17
480:2x 2x 2x 2x 2x 3x 5
887:887
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 101353056986880/(1x216)
LCM = 101353056986880/216
LCM = 469227115680
Thus, we can understand that the LCM of 723,807,408,480,887 is 469227115680.
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FAQs on LCM of 723, 807, 408, 480, 887
1. What is the LCM of 723, 807, 408, 480, 887?
Answer: LCM of 723, 807, 408, 480, 887 is 469227115680.
2. How to calculate the LCM of 723, 807, 408, 480, 887?
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, 807, 408, 480, 887.
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}.