LCM of 233, 425, 420, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 425, 420, 784 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 233, 425, 420, 784. So, keep reading to learn more.
Given numbers are 233,425,420,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,425,420,784 is 232906800.
Find LCM of 233,425,420,784 with Prime Factorization
| 2 | 233, 425, 420, 784 |
| 2 | 233, 425, 210, 392 |
| 5 | 233, 425, 105, 196 |
| 7 | 233, 85, 21, 196 |
| 233, 85, 3, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 233 x 85 x 3 x 28 = 232906800
Therefore, the lowest common multiple of 233,425,420,784 is 232906800.
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.
233 x 425 x 420 x 784 = 32606952000
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.
233 : 1, 233
425 : 1, 5, 17, 25, 85, 425
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,425,420,784, is 1.
Now, the common factors can be found like this.
233:233
425:5x 5x 17
420:2x 2x 3x 5x 7
784:2x 2x 2x 2x 7x 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 5x 7 = 140
Therefore, the value for common factors is 140.
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 = 32606952000/(1x140)
LCM = 32606952000/140
LCM = 232906800
Thus, we can understand that the LCM of 233,425,420,784 is 232906800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 425, 420, 784
1. What is the LCM of 233, 425, 420, 784?
Answer: LCM of 233, 425, 420, 784 is 232906800.
2. How to calculate the LCM of 233, 425, 420, 784?
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 233, 425, 420, 784.
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}.