LCM of 203, 493, 963, 348, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 493, 963, 348, 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 203, 493, 963, 348, 784. So, keep reading to learn more.
Given numbers are 203,493,963,348,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,493,963,348,784 is 372211056.
Find LCM of 203,493,963,348,784 with Prime Factorization
| 2 | 203, 493, 963, 348, 784 |
| 2 | 203, 493, 963, 174, 392 |
| 3 | 203, 493, 963, 87, 196 |
| 7 | 203, 493, 321, 29, 196 |
| 29 | 29, 493, 321, 29, 28 |
| 1, 17, 321, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 1 x 17 x 321 x 1 x 28 = 372211056
Therefore, the lowest common multiple of 203,493,963,348,784 is 372211056.
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.
203 x 493 x 963 x 348 x 784 = 26294477840064
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.
203 : 1, 7, 29, 203
493 : 1, 17, 29, 493
963 : 1, 3, 9, 107, 321, 963
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 203,493,963,348,784, is 1.
Now, the common factors can be found like this.
203:7x 29
493:17x 29
963:3x 3x 107
348:2x 2x 3x 29
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 3x 7x 29x 29 = 70644
Therefore, the value for common factors is 70644.
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 = 26294477840064/(1x70644)
LCM = 26294477840064/70644
LCM = 372211056
Thus, we can understand that the LCM of 203,493,963,348,784 is 372211056.
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FAQs on LCM of 203, 493, 963, 348, 784
1. What is the LCM of 203, 493, 963, 348, 784?
Answer: LCM of 203, 493, 963, 348, 784 is 372211056.
2. How to calculate the LCM of 203, 493, 963, 348, 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 203, 493, 963, 348, 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}.