LCM of 579, 868, 963, 382, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 868, 963, 382, 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 579, 868, 963, 382, 208. So, keep reading to learn more.
Given numbers are 579,868,963,382,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,868,963,382,208 is 1602285978384.
Find LCM of 579,868,963,382,208 with Prime Factorization
| 2 | 579, 868, 963, 382, 208 |
| 2 | 579, 434, 963, 191, 104 |
| 3 | 579, 217, 963, 191, 52 |
| 193, 217, 321, 191, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 193 x 217 x 321 x 191 x 52 = 1602285978384
Therefore, the lowest common multiple of 579,868,963,382,208 is 1602285978384.
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.
579 x 868 x 963 x 382 x 208 = 38454863481216
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.
579 : 1, 3, 193, 579
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
963 : 1, 3, 9, 107, 321, 963
382 : 1, 2, 191, 382
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 579,868,963,382,208, is 1.
Now, the common factors can be found like this.
579:3x 193
868:2x 2x 7x 31
963:3x 3x 107
382:2x 191
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 3 = 24
Therefore, the value for common factors is 24.
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 = 38454863481216/(1x24)
LCM = 38454863481216/24
LCM = 1602285978384
Thus, we can understand that the LCM of 579,868,963,382,208 is 1602285978384.
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FAQs on LCM of 579, 868, 963, 382, 208
1. What is the LCM of 579, 868, 963, 382, 208?
Answer: LCM of 579, 868, 963, 382, 208 is 1602285978384.
2. How to calculate the LCM of 579, 868, 963, 382, 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 579, 868, 963, 382, 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}.