LCM of 783, 478, 334, 960, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 478, 334, 960, 648 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 783, 478, 334, 960, 648. So, keep reading to learn more.
Given numbers are 783,478,334,960,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,478,334,960,648 is 30001803840.
Find LCM of 783,478,334,960,648 with Prime Factorization
| 2 | 783, 478, 334, 960, 648 |
| 2 | 783, 239, 167, 480, 324 |
| 2 | 783, 239, 167, 240, 162 |
| 3 | 783, 239, 167, 120, 81 |
| 3 | 261, 239, 167, 40, 27 |
| 3 | 87, 239, 167, 40, 9 |
| 29, 239, 167, 40, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 29 x 239 x 167 x 40 x 3 = 30001803840
Therefore, the lowest common multiple of 783,478,334,960,648 is 30001803840.
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.
783 x 478 x 334 x 960 x 648 = 77764675553280
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
478 : 1, 2, 239, 478
334 : 1, 2, 167, 334
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,478,334,960,648, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
478:2x 239
334:2x 167
960:2x 2x 2x 2x 2x 2x 3x 5
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 77764675553280/(1x2592)
LCM = 77764675553280/2592
LCM = 30001803840
Thus, we can understand that the LCM of 783,478,334,960,648 is 30001803840.
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FAQs on LCM of 783, 478, 334, 960, 648
1. What is the LCM of 783, 478, 334, 960, 648?
Answer: LCM of 783, 478, 334, 960, 648 is 30001803840.
2. How to calculate the LCM of 783, 478, 334, 960, 648?
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 783, 478, 334, 960, 648.
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}.