LCM of 784, 183, 357, 143, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 183, 357, 143, 208 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 784, 183, 357, 143, 208. So, keep reading to learn more.
Given numbers are 784,183,357,143,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,183,357,143,208 is 348780432.
Find LCM of 784,183,357,143,208 with Prime Factorization
| 2 | 784, 183, 357, 143, 208 |
| 2 | 392, 183, 357, 143, 104 |
| 2 | 196, 183, 357, 143, 52 |
| 2 | 98, 183, 357, 143, 26 |
| 3 | 49, 183, 357, 143, 13 |
| 7 | 49, 61, 119, 143, 13 |
| 13 | 7, 61, 17, 143, 13 |
| 7, 61, 17, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 13 x 7 x 61 x 17 x 11 x 1 = 348780432
Therefore, the lowest common multiple of 784,183,357,143,208 is 348780432.
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.
784 x 183 x 357 x 143 x 208 = 1523472926976
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
183 : 1, 3, 61, 183
357 : 1, 3, 7, 17, 21, 51, 119, 357
143 : 1, 11, 13, 143
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,183,357,143,208, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
183:3x 61
357:3x 7x 17
143:11x 13
208:2x 2x 2x 2x 13
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 7x 13 = 4368
Therefore, the value for common factors is 4368.
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 = 1523472926976/(1x4368)
LCM = 1523472926976/4368
LCM = 348780432
Thus, we can understand that the LCM of 784,183,357,143,208 is 348780432.
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FAQs on LCM of 784, 183, 357, 143, 208
1. What is the LCM of 784, 183, 357, 143, 208?
Answer: LCM of 784, 183, 357, 143, 208 is 348780432.
2. How to calculate the LCM of 784, 183, 357, 143, 208?
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 784, 183, 357, 143, 208.
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}.