LCM of 476, 686, 856, 378, 562
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 686, 856, 378, 562 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, 686, 856, 378, 562. So, keep reading to learn more.
Given numbers are 476,686,856,378,562
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,686,856,378,562 is 37869266232.
Find LCM of 476,686,856,378,562 with Prime Factorization
| 2 | 476, 686, 856, 378, 562 |
| 2 | 238, 343, 428, 189, 281 |
| 7 | 119, 343, 214, 189, 281 |
| 17, 49, 214, 27, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 49 x 214 x 27 x 281 = 37869266232
Therefore, the lowest common multiple of 476,686,856,378,562 is 37869266232.
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 686 x 856 x 378 x 562 = 59379009451776
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
856 : 1, 2, 4, 8, 107, 214, 428, 856
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
562 : 1, 2, 281, 562
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,686,856,378,562, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
686:2x 7x 7x 7
856:2x 2x 2x 107
378:2x 3x 3x 3x 7
562:2x 281
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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 59379009451776/(2x784)
LCM = 59379009451776/1568
LCM = 37869266232
Thus, we can understand that the LCM of 476,686,856,378,562 is 37869266232.
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FAQs on LCM of 476, 686, 856, 378, 562
1. What is the LCM of 476, 686, 856, 378, 562?
Answer: LCM of 476, 686, 856, 378, 562 is 37869266232.
2. How to calculate the LCM of 476, 686, 856, 378, 562?
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, 686, 856, 378, 562.
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}.