LCM of 468, 723, 712, 995, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 723, 712, 995, 966 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, 723, 712, 995, 966. So, keep reading to learn more.
Given numbers are 468,723,712,995,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,723,712,995,966 is 3216117111480.
Find LCM of 468,723,712,995,966 with Prime Factorization
| 2 | 468, 723, 712, 995, 966 |
| 2 | 234, 723, 356, 995, 483 |
| 3 | 117, 723, 178, 995, 483 |
| 39, 241, 178, 995, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 39 x 241 x 178 x 995 x 161 = 3216117111480
Therefore, the lowest common multiple of 468,723,712,995,966 is 3216117111480.
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 723 x 712 x 995 x 966 = 231560432026560
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
723 : 1, 3, 241, 723
712 : 1, 2, 4, 8, 89, 178, 356, 712
995 : 1, 5, 199, 995
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,723,712,995,966, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
723:3x 241
712:2x 2x 2x 89
995:5x 199
966:2x 3x 7x 23
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 3 = 72
Therefore, the value for common factors is 72.
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 = 231560432026560/(1x72)
LCM = 231560432026560/72
LCM = 3216117111480
Thus, we can understand that the LCM of 468,723,712,995,966 is 3216117111480.
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FAQs on LCM of 468, 723, 712, 995, 966
1. What is the LCM of 468, 723, 712, 995, 966?
Answer: LCM of 468, 723, 712, 995, 966 is 3216117111480.
2. How to calculate the LCM of 468, 723, 712, 995, 966?
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, 723, 712, 995, 966.
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}.