LCM of 383, 684, 969, 460, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 684, 969, 460, 760 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 383, 684, 969, 460, 760. So, keep reading to learn more.
Given numbers are 383,684,969,460,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,684,969,460,760 is 1024310520.
Find LCM of 383,684,969,460,760 with Prime Factorization
| 2 | 383, 684, 969, 460, 760 |
| 2 | 383, 342, 969, 230, 380 |
| 3 | 383, 171, 969, 115, 190 |
| 5 | 383, 57, 323, 115, 190 |
| 19 | 383, 57, 323, 23, 38 |
| 383, 3, 17, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 383 x 3 x 17 x 23 x 2 = 1024310520
Therefore, the lowest common multiple of 383,684,969,460,760 is 1024310520.
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.
383 x 684 x 969 x 460 x 760 = 88746263452800
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.
383 : 1, 383
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
969 : 1, 3, 17, 19, 51, 57, 323, 969
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,684,969,460,760, is 1.
Now, the common factors can be found like this.
383:383
684:2x 2x 3x 3x 19
969:3x 17x 19
460:2x 2x 5x 23
760:2x 2x 2x 5x 19
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 5x 19x 19 = 86640
Therefore, the value for common factors is 86640.
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 = 88746263452800/(1x86640)
LCM = 88746263452800/86640
LCM = 1024310520
Thus, we can understand that the LCM of 383,684,969,460,760 is 1024310520.
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FAQs on LCM of 383, 684, 969, 460, 760
1. What is the LCM of 383, 684, 969, 460, 760?
Answer: LCM of 383, 684, 969, 460, 760 is 1024310520.
2. How to calculate the LCM of 383, 684, 969, 460, 760?
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 383, 684, 969, 460, 760.
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}.