LCM of 786, 412, 825, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 412, 825, 476 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 786, 412, 825, 476. So, keep reading to learn more.
Given numbers are 786,412,825,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,412,825,476 is 5298701100.
Find LCM of 786,412,825,476 with Prime Factorization
| 2 | 786, 412, 825, 476 |
| 2 | 393, 206, 825, 238 |
| 3 | 393, 103, 825, 119 |
| 131, 103, 275, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 103 x 275 x 119 = 5298701100
Therefore, the lowest common multiple of 786,412,825,476 is 5298701100.
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.
786 x 412 x 825 x 476 = 127168826400
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
412 : 1, 2, 4, 103, 206, 412
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,412,825,476, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
412:2x 2x 103
825:3x 5x 5x 11
476:2x 2x 7x 17
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 3 = 24
Therefore, the value for common factors is 24.
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 = 127168826400/(1x24)
LCM = 127168826400/24
LCM = 5298701100
Thus, we can understand that the LCM of 786,412,825,476 is 5298701100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 786, 412, 825, 476
1. What is the LCM of 786, 412, 825, 476?
Answer: LCM of 786, 412, 825, 476 is 5298701100.
2. How to calculate the LCM of 786, 412, 825, 476?
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 786, 412, 825, 476.
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}.