LCM of 672, 993, 418, 600, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 993, 418, 600, 225 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 672, 993, 418, 600, 225. So, keep reading to learn more.
Given numbers are 672,993,418,600,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,993,418,600,225 is 3486621600.
Find LCM of 672,993,418,600,225 with Prime Factorization
| 2 | 672, 993, 418, 600, 225 |
| 2 | 336, 993, 209, 300, 225 |
| 2 | 168, 993, 209, 150, 225 |
| 3 | 84, 993, 209, 75, 225 |
| 5 | 28, 331, 209, 25, 75 |
| 5 | 28, 331, 209, 5, 15 |
| 28, 331, 209, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 28 x 331 x 209 x 1 x 3 = 3486621600
Therefore, the lowest common multiple of 672,993,418,600,225 is 3486621600.
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.
672 x 993 x 418 x 600 x 225 = 37655513280000
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
993 : 1, 3, 331, 993
418 : 1, 2, 11, 19, 22, 38, 209, 418
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,993,418,600,225, is 1.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
993:3x 331
418:2x 11x 19
600:2x 2x 2x 3x 5x 5
225:3x 3x 5x 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 2x 2x 2x 3x 3x 3x 5x 5 = 10800
Therefore, the value for common factors is 10800.
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 = 37655513280000/(1x10800)
LCM = 37655513280000/10800
LCM = 3486621600
Thus, we can understand that the LCM of 672,993,418,600,225 is 3486621600.
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FAQs on LCM of 672, 993, 418, 600, 225
1. What is the LCM of 672, 993, 418, 600, 225?
Answer: LCM of 672, 993, 418, 600, 225 is 3486621600.
2. How to calculate the LCM of 672, 993, 418, 600, 225?
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 672, 993, 418, 600, 225.
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}.