LCM of 467, 206, 712, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 206, 712, 977 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 467, 206, 712, 977. So, keep reading to learn more.
Given numbers are 467,206,712,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,206,712,977 is 33460210024.
Find LCM of 467,206,712,977 with Prime Factorization
| 2 | 467, 206, 712, 977 |
| 467, 103, 356, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 467 x 103 x 356 x 977 = 33460210024
Therefore, the lowest common multiple of 467,206,712,977 is 33460210024.
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.
467 x 206 x 712 x 977 = 66920420048
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.
467 : 1, 467
206 : 1, 2, 103, 206
712 : 1, 2, 4, 8, 89, 178, 356, 712
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,206,712,977, is 1.
Now, the common factors can be found like this.
467:467
206:2x 103
712:2x 2x 2x 89
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 66920420048/(1x2)
LCM = 66920420048/2
LCM = 33460210024
Thus, we can understand that the LCM of 467,206,712,977 is 33460210024.
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FAQs on LCM of 467, 206, 712, 977
1. What is the LCM of 467, 206, 712, 977?
Answer: LCM of 467, 206, 712, 977 is 33460210024.
2. How to calculate the LCM of 467, 206, 712, 977?
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 467, 206, 712, 977.
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}.