LCM of 463, 640, 756, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 640, 756, 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 463, 640, 756, 784. So, keep reading to learn more.
Given numbers are 463,640,756,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,640,756,784 is 392031360.
Find LCM of 463,640,756,784 with Prime Factorization
| 2 | 463, 640, 756, 784 |
| 2 | 463, 320, 378, 392 |
| 2 | 463, 160, 189, 196 |
| 2 | 463, 80, 189, 98 |
| 7 | 463, 40, 189, 49 |
| 463, 40, 27, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 463 x 40 x 27 x 7 = 392031360
Therefore, the lowest common multiple of 463,640,756,784 is 392031360.
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.
463 x 640 x 756 x 784 = 175630049280
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.
463 : 1, 463
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 463,640,756,784, is 1.
Now, the common factors can be found like this.
463:463
640:2x 2x 2x 2x 2x 2x 2x 5
756:2x 2x 3x 3x 3x 7
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 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 175630049280/(1x448)
LCM = 175630049280/448
LCM = 392031360
Thus, we can understand that the LCM of 463,640,756,784 is 392031360.
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FAQs on LCM of 463, 640, 756, 784
1. What is the LCM of 463, 640, 756, 784?
Answer: LCM of 463, 640, 756, 784 is 392031360.
2. How to calculate the LCM of 463, 640, 756, 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 463, 640, 756, 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}.