LCM of 763, 454, 960, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 454, 960, 784 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 763, 454, 960, 784. So, keep reading to learn more.
Given numbers are 763,454,960,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,454,960,784 is 1163910720.
Find LCM of 763,454,960,784 with Prime Factorization
| 2 | 763, 454, 960, 784 |
| 2 | 763, 227, 480, 392 |
| 2 | 763, 227, 240, 196 |
| 2 | 763, 227, 120, 98 |
| 7 | 763, 227, 60, 49 |
| 109, 227, 60, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 109 x 227 x 60 x 7 = 1163910720
Therefore, the lowest common multiple of 763,454,960,784 is 1163910720.
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.
763 x 454 x 960 x 784 = 260716001280
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.
763 : 1, 7, 109, 763
454 : 1, 2, 227, 454
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
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,454,960,784, is 1.
Now, the common factors can be found like this.
763:7x 109
454:2x 227
960:2x 2x 2x 2x 2x 2x 3x 5
784:2x 2x 2x 2x 7x 7
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 7 = 224
Therefore, the value for common factors is 224.
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 = 260716001280/(1x224)
LCM = 260716001280/224
LCM = 1163910720
Thus, we can understand that the LCM of 763,454,960,784 is 1163910720.
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FAQs on LCM of 763, 454, 960, 784
1. What is the LCM of 763, 454, 960, 784?
Answer: LCM of 763, 454, 960, 784 is 1163910720.
2. How to calculate the LCM of 763, 454, 960, 784?
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 763, 454, 960, 784.
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}.