LCM of 578, 225, 192, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 225, 192, 840 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 578, 225, 192, 840. So, keep reading to learn more.
Given numbers are 578,225,192,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,225,192,840 is 29131200.
Find LCM of 578,225,192,840 with Prime Factorization
| 2 | 578, 225, 192, 840 |
| 2 | 289, 225, 96, 420 |
| 2 | 289, 225, 48, 210 |
| 3 | 289, 225, 24, 105 |
| 5 | 289, 75, 8, 35 |
| 289, 15, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 289 x 15 x 8 x 7 = 29131200
Therefore, the lowest common multiple of 578,225,192,840 is 29131200.
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.
578 x 225 x 192 x 840 = 20974464000
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.
578 : 1, 2, 17, 34, 289, 578
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,225,192,840, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
225:3x 3x 5x 5
192:2x 2x 2x 2x 2x 2x 3
840:2x 2x 2x 3x 5x 7
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 5 = 720
Therefore, the value for common factors is 720.
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 = 20974464000/(1x720)
LCM = 20974464000/720
LCM = 29131200
Thus, we can understand that the LCM of 578,225,192,840 is 29131200.
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FAQs on LCM of 578, 225, 192, 840
1. What is the LCM of 578, 225, 192, 840?
Answer: LCM of 578, 225, 192, 840 is 29131200.
2. How to calculate the LCM of 578, 225, 192, 840?
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 578, 225, 192, 840.
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}.