LCM of 920, 330, 490, 422, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 330, 490, 422, 686 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 920, 330, 490, 422, 686. So, keep reading to learn more.
Given numbers are 920,330,490,422,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,330,490,422,686 is 2197244280.
Find LCM of 920,330,490,422,686 with Prime Factorization
| 2 | 920, 330, 490, 422, 686 |
| 5 | 460, 165, 245, 211, 343 |
| 7 | 92, 33, 49, 211, 343 |
| 7 | 92, 33, 7, 211, 49 |
| 92, 33, 1, 211, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 92 x 33 x 1 x 211 x 7 = 2197244280
Therefore, the lowest common multiple of 920,330,490,422,686 is 2197244280.
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.
920 x 330 x 490 x 422 x 686 = 43065987888000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
422 : 1, 2, 211, 422
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,330,490,422,686, is 2.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
330:2x 3x 5x 11
490:2x 5x 7x 7
422:2x 211
686:2x 7x 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 5x 5x 7x 7 = 9800
Therefore, the value for common factors is 9800.
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 = 43065987888000/(2x9800)
LCM = 43065987888000/19600
LCM = 2197244280
Thus, we can understand that the LCM of 920,330,490,422,686 is 2197244280.
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FAQs on LCM of 920, 330, 490, 422, 686
1. What is the LCM of 920, 330, 490, 422, 686?
Answer: LCM of 920, 330, 490, 422, 686 is 2197244280.
2. How to calculate the LCM of 920, 330, 490, 422, 686?
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 920, 330, 490, 422, 686.
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}.