LCM of 654, 410, 900, 565, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 410, 900, 565, 678 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 654, 410, 900, 565, 678. So, keep reading to learn more.
Given numbers are 654,410,900,565,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,410,900,565,678 is 454497300.
Find LCM of 654,410,900,565,678 with Prime Factorization
| 2 | 654, 410, 900, 565, 678 |
| 3 | 327, 205, 450, 565, 339 |
| 5 | 109, 205, 150, 565, 113 |
| 113 | 109, 41, 30, 113, 113 |
| 109, 41, 30, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 109 x 41 x 30 x 1 x 1 = 454497300
Therefore, the lowest common multiple of 654,410,900,565,678 is 454497300.
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.
654 x 410 x 900 x 565 x 678 = 92444750820000
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
410 : 1, 2, 5, 10, 41, 82, 205, 410
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
565 : 1, 5, 113, 565
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,410,900,565,678, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
410:2x 5x 41
900:2x 2x 3x 3x 5x 5
565:5x 113
678:2x 3x 113
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 5x 5x 113 = 203400
Therefore, the value for common factors is 203400.
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 = 92444750820000/(1x203400)
LCM = 92444750820000/203400
LCM = 454497300
Thus, we can understand that the LCM of 654,410,900,565,678 is 454497300.
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FAQs on LCM of 654, 410, 900, 565, 678
1. What is the LCM of 654, 410, 900, 565, 678?
Answer: LCM of 654, 410, 900, 565, 678 is 454497300.
2. How to calculate the LCM of 654, 410, 900, 565, 678?
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 654, 410, 900, 565, 678.
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}.