LCM of 997, 392, 491, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 392, 491, 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 997, 392, 491, 784. So, keep reading to learn more.
Given numbers are 997,392,491,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,392,491,784 is 383789168.
Find LCM of 997,392,491,784 with Prime Factorization
| 2 | 997, 392, 491, 784 |
| 2 | 997, 196, 491, 392 |
| 2 | 997, 98, 491, 196 |
| 7 | 997, 49, 491, 98 |
| 7 | 997, 7, 491, 14 |
| 997, 1, 491, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 7 x 997 x 1 x 491 x 2 = 383789168
Therefore, the lowest common multiple of 997,392,491,784 is 383789168.
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.
997 x 392 x 491 x 784 = 150445353856
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.
997 : 1, 997
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
491 : 1, 491
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 997,392,491,784, is 1.
Now, the common factors can be found like this.
997:997
392:2x 2x 2x 7x 7
491:491
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 150445353856/(1x392)
LCM = 150445353856/392
LCM = 383789168
Thus, we can understand that the LCM of 997,392,491,784 is 383789168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 997, 392, 491, 784
1. What is the LCM of 997, 392, 491, 784?
Answer: LCM of 997, 392, 491, 784 is 383789168.
2. How to calculate the LCM of 997, 392, 491, 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 997, 392, 491, 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}.