LCM of 788, 289, 900, 342, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 289, 900, 342, 382 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 788, 289, 900, 342, 382. So, keep reading to learn more.
Given numbers are 788,289,900,342,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,289,900,342,382 is 185948871300.
Find LCM of 788,289,900,342,382 with Prime Factorization
| 2 | 788, 289, 900, 342, 382 |
| 2 | 394, 289, 450, 171, 191 |
| 3 | 197, 289, 225, 171, 191 |
| 3 | 197, 289, 75, 57, 191 |
| 197, 289, 25, 19, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 197 x 289 x 25 x 19 x 191 = 185948871300
Therefore, the lowest common multiple of 788,289,900,342,382 is 185948871300.
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.
788 x 289 x 900 x 342 x 382 = 26776637467200
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.
788 : 1, 2, 4, 197, 394, 788
289 : 1, 17, 289
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,289,900,342,382, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
289:17x 17
900:2x 2x 3x 3x 5x 5
342:2x 3x 3x 19
382:2x 191
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 3 = 144
Therefore, the value for common factors is 144.
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 = 26776637467200/(1x144)
LCM = 26776637467200/144
LCM = 185948871300
Thus, we can understand that the LCM of 788,289,900,342,382 is 185948871300.
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FAQs on LCM of 788, 289, 900, 342, 382
1. What is the LCM of 788, 289, 900, 342, 382?
Answer: LCM of 788, 289, 900, 342, 382 is 185948871300.
2. How to calculate the LCM of 788, 289, 900, 342, 382?
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 788, 289, 900, 342, 382.
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}.