LCM of 467, 414, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 414, 720 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, 414, 720. So, keep reading to learn more.
Given numbers are 467,414,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,414,720 is 7733520.
Find LCM of 467,414,720 with Prime Factorization
| 2 | 467, 414, 720 |
| 3 | 467, 207, 360 |
| 3 | 467, 69, 120 |
| 467, 23, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 467 x 23 x 40 = 7733520
Therefore, the lowest common multiple of 467,414,720 is 7733520.
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 414 x 720 = 139203360
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,414,720, is 1.
Now, the common factors can be found like this.
467:467
414:2x 3x 3x 23
720:2x 2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 139203360/(1x18)
LCM = 139203360/18
LCM = 7733520
Thus, we can understand that the LCM of 467,414,720 is 7733520.
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FAQs on LCM of 467, 414, 720
1. What is the LCM of 467, 414, 720?
Answer: LCM of 467, 414, 720 is 7733520.
2. How to calculate the LCM of 467, 414, 720?
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, 414, 720.
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}.