LCM of 784, 576, 617, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 576, 617, 364 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 784, 576, 617, 364. So, keep reading to learn more.
Given numbers are 784,576,617,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,576,617,364 is 226384704.
Find LCM of 784,576,617,364 with Prime Factorization
| 2 | 784, 576, 617, 364 |
| 2 | 392, 288, 617, 182 |
| 2 | 196, 144, 617, 91 |
| 2 | 98, 72, 617, 91 |
| 7 | 49, 36, 617, 91 |
| 7, 36, 617, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 7 x 36 x 617 x 13 = 226384704
Therefore, the lowest common multiple of 784,576,617,364 is 226384704.
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.
784 x 576 x 617 x 364 = 101420347392
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
617 : 1, 617
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,576,617,364, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
576:2x 2x 2x 2x 2x 2x 3x 3
617:617
364:2x 2x 7x 13
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 = 101420347392/(1x448)
LCM = 101420347392/448
LCM = 226384704
Thus, we can understand that the LCM of 784,576,617,364 is 226384704.
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FAQs on LCM of 784, 576, 617, 364
1. What is the LCM of 784, 576, 617, 364?
Answer: LCM of 784, 576, 617, 364 is 226384704.
2. How to calculate the LCM of 784, 576, 617, 364?
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 784, 576, 617, 364.
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}.