LCM of 476, 273, 884, 260, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 273, 884, 260, 786 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 476, 273, 884, 260, 786. So, keep reading to learn more.
Given numbers are 476,273,884,260,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,273,884,260,786 is 12159420.
Find LCM of 476,273,884,260,786 with Prime Factorization
| 2 | 476, 273, 884, 260, 786 |
| 2 | 238, 273, 442, 130, 393 |
| 3 | 119, 273, 221, 65, 393 |
| 7 | 119, 91, 221, 65, 131 |
| 13 | 17, 13, 221, 65, 131 |
| 17 | 17, 1, 17, 5, 131 |
| 1, 1, 1, 5, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 17 x 1 x 1 x 1 x 5 x 131 = 12159420
Therefore, the lowest common multiple of 476,273,884,260,786 is 12159420.
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.
476 x 273 x 884 x 260 x 786 = 23475657179520
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
273 : 1, 3, 7, 13, 21, 39, 91, 273
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,273,884,260,786, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
273:3x 7x 13
884:2x 2x 13x 17
260:2x 2x 5x 13
786:2x 3x 131
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 3x 7x 13x 13x 17 = 1930656
Therefore, the value for common factors is 1930656.
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 = 23475657179520/(1x1930656)
LCM = 23475657179520/1930656
LCM = 12159420
Thus, we can understand that the LCM of 476,273,884,260,786 is 12159420.
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FAQs on LCM of 476, 273, 884, 260, 786
1. What is the LCM of 476, 273, 884, 260, 786?
Answer: LCM of 476, 273, 884, 260, 786 is 12159420.
2. How to calculate the LCM of 476, 273, 884, 260, 786?
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 476, 273, 884, 260, 786.
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}.