LCM of 784, 975, 447, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 975, 447, 455 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, 975, 447, 455. So, keep reading to learn more.
Given numbers are 784,975,447,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,975,447,455 is 113895600.
Find LCM of 784,975,447,455 with Prime Factorization
| 3 | 784, 975, 447, 455 |
| 5 | 784, 325, 149, 455 |
| 7 | 784, 65, 149, 91 |
| 13 | 112, 65, 149, 13 |
| 112, 5, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 112 x 5 x 149 x 1 = 113895600
Therefore, the lowest common multiple of 784,975,447,455 is 113895600.
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 975 x 447 x 455 = 155467494000
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
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
447 : 1, 3, 149, 447
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,975,447,455, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
975:3x 5x 5x 13
447:3x 149
455:5x 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.
3x 5x 7x 13 = 1365
Therefore, the value for common factors is 1365.
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 = 155467494000/(1x1365)
LCM = 155467494000/1365
LCM = 113895600
Thus, we can understand that the LCM of 784,975,447,455 is 113895600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 784, 975, 447, 455
1. What is the LCM of 784, 975, 447, 455?
Answer: LCM of 784, 975, 447, 455 is 113895600.
2. How to calculate the LCM of 784, 975, 447, 455?
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, 975, 447, 455.
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}.