LCM of 382, 765, 527, 468, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 765, 527, 468, 884 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 382, 765, 527, 468, 884. So, keep reading to learn more.
Given numbers are 382,765,527,468,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,765,527,468,884 is 235537380.
Find LCM of 382,765,527,468,884 with Prime Factorization
| 2 | 382, 765, 527, 468, 884 |
| 2 | 191, 765, 527, 234, 442 |
| 3 | 191, 765, 527, 117, 221 |
| 3 | 191, 255, 527, 39, 221 |
| 13 | 191, 85, 527, 13, 221 |
| 17 | 191, 85, 527, 1, 17 |
| 191, 5, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 191 x 5 x 31 x 1 x 1 = 235537380
Therefore, the lowest common multiple of 382,765,527,468,884 is 235537380.
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.
382 x 765 x 527 x 468 x 884 = 63713803439520
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.
382 : 1, 2, 191, 382
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
527 : 1, 17, 31, 527
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,765,527,468,884, is 1.
Now, the common factors can be found like this.
382:2x 191
765:3x 3x 5x 17
527:17x 31
468:2x 2x 3x 3x 13
884:2x 2x 13x 17
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 3x 3x 13x 17x 17 = 270504
Therefore, the value for common factors is 270504.
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 = 63713803439520/(1x270504)
LCM = 63713803439520/270504
LCM = 235537380
Thus, we can understand that the LCM of 382,765,527,468,884 is 235537380.
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FAQs on LCM of 382, 765, 527, 468, 884
1. What is the LCM of 382, 765, 527, 468, 884?
Answer: LCM of 382, 765, 527, 468, 884 is 235537380.
2. How to calculate the LCM of 382, 765, 527, 468, 884?
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 382, 765, 527, 468, 884.
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}.