Find the LCM of 460, 422, 680, 814 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 460, 422, 680, 814. So, keep reading to learn more.
Given numbers are 460,422,680,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,422,680,814 is 1343116280.
Find LCM of 460,422,680,814 with Prime Factorization
2 | 460, 422, 680, 814 |
2 | 230, 211, 340, 407 |
5 | 115, 211, 170, 407 |
23, 211, 34, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 211 x 34 x 407 = 1343116280
Therefore, the lowest common multiple of 460,422,680,814 is 1343116280.
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.
460 x 422 x 680 x 814 = 107449302400
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
422 : 1, 2, 211, 422
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,422,680,814, is 2.
Now, the common factors can be found like this.
460:2x 2x 5x 23
422:2x 211
680:2x 2x 2x 5x 17
814:2x 11x 37
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 5 = 40
Therefore, the value for common factors is 40.
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 = 107449302400/(2x40)
LCM = 107449302400/80
LCM = 1343116280
Thus, we can understand that the LCM of 460,422,680,814 is 1343116280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 422, 680, 814?
Answer: LCM of 460, 422, 680, 814 is 1343116280.
2. How to calculate the LCM of 460, 422, 680, 814?
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 460, 422, 680, 814.
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}.