LCM of 725, 654, 384, 80
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 725, 654, 384, 80 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 725, 654, 384, 80. So, keep reading to learn more.
Given numbers are 725,654,384,80
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 725,654,384,80 is 30345600.
Find LCM of 725,654,384,80 with Prime Factorization
| 2 | 725, 654, 384, 80 |
| 2 | 725, 327, 192, 40 |
| 2 | 725, 327, 96, 20 |
| 2 | 725, 327, 48, 10 |
| 3 | 725, 327, 24, 5 |
| 5 | 725, 109, 8, 5 |
| 145, 109, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 145 x 109 x 8 x 1 = 30345600
Therefore, the lowest common multiple of 725,654,384,80 is 30345600.
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.
725 x 654 x 384 x 80 = 14565888000
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.
725 : 1, 5, 25, 29, 145, 725
654 : 1, 2, 3, 6, 109, 218, 327, 654
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,654,384,80, is 1.
Now, the common factors can be found like this.
725:5x 5x 29
654:2x 3x 109
384:2x 2x 2x 2x 2x 2x 2x 3
80:2x 2x 2x 2x 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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 14565888000/(1x480)
LCM = 14565888000/480
LCM = 30345600
Thus, we can understand that the LCM of 725,654,384,80 is 30345600.
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FAQs on LCM of 725, 654, 384, 80
1. What is the LCM of 725, 654, 384, 80?
Answer: LCM of 725, 654, 384, 80 is 30345600.
2. How to calculate the LCM of 725, 654, 384, 80?
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 725, 654, 384, 80.
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}.