LCM of 768, 710, 517, 390, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 710, 517, 390, 640 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 768, 710, 517, 390, 640. So, keep reading to learn more.
Given numbers are 768,710,517,390,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,710,517,390,640 is 1832413440.
Find LCM of 768,710,517,390,640 with Prime Factorization
| 2 | 768, 710, 517, 390, 640 |
| 2 | 384, 355, 517, 195, 320 |
| 2 | 192, 355, 517, 195, 160 |
| 2 | 96, 355, 517, 195, 80 |
| 2 | 48, 355, 517, 195, 40 |
| 2 | 24, 355, 517, 195, 20 |
| 2 | 12, 355, 517, 195, 10 |
| 3 | 6, 355, 517, 195, 5 |
| 5 | 2, 355, 517, 65, 5 |
| 2, 71, 517, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 2 x 71 x 517 x 13 x 1 = 1832413440
Therefore, the lowest common multiple of 768,710,517,390,640 is 1832413440.
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.
768 x 710 x 517 x 390 x 640 = 70364676096000
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
710 : 1, 2, 5, 10, 71, 142, 355, 710
517 : 1, 11, 47, 517
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,710,517,390,640, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
710:2x 5x 71
517:11x 47
390:2x 3x 5x 13
640:2x 2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 3x 5x 5 = 38400
Therefore, the value for common factors is 38400.
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 = 70364676096000/(1x38400)
LCM = 70364676096000/38400
LCM = 1832413440
Thus, we can understand that the LCM of 768,710,517,390,640 is 1832413440.
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FAQs on LCM of 768, 710, 517, 390, 640
1. What is the LCM of 768, 710, 517, 390, 640?
Answer: LCM of 768, 710, 517, 390, 640 is 1832413440.
2. How to calculate the LCM of 768, 710, 517, 390, 640?
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 768, 710, 517, 390, 640.
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}.