LCM of 287, 696, 984, 636, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 696, 984, 636, 326 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 287, 696, 984, 636, 326. So, keep reading to learn more.
Given numbers are 287,696,984,636,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,696,984,636,326 is 1725657528.
Find LCM of 287,696,984,636,326 with Prime Factorization
| 2 | 287, 696, 984, 636, 326 |
| 2 | 287, 348, 492, 318, 163 |
| 2 | 287, 174, 246, 159, 163 |
| 3 | 287, 87, 123, 159, 163 |
| 41 | 287, 29, 41, 53, 163 |
| 7, 29, 1, 53, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 7 x 29 x 1 x 53 x 163 = 1725657528
Therefore, the lowest common multiple of 287,696,984,636,326 is 1725657528.
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.
287 x 696 x 984 x 636 x 326 = 40753128181248
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.
287 : 1, 7, 41, 287
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,696,984,636,326, is 1.
Now, the common factors can be found like this.
287:7x 41
696:2x 2x 2x 3x 29
984:2x 2x 2x 3x 41
636:2x 2x 3x 53
326:2x 163
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 2x 2x 3x 3x 41 = 23616
Therefore, the value for common factors is 23616.
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 = 40753128181248/(1x23616)
LCM = 40753128181248/23616
LCM = 1725657528
Thus, we can understand that the LCM of 287,696,984,636,326 is 1725657528.
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FAQs on LCM of 287, 696, 984, 636, 326
1. What is the LCM of 287, 696, 984, 636, 326?
Answer: LCM of 287, 696, 984, 636, 326 is 1725657528.
2. How to calculate the LCM of 287, 696, 984, 636, 326?
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 287, 696, 984, 636, 326.
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}.