Find the LCM of 410, 482, 120, 691 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 410, 482, 120, 691. So, keep reading to learn more.
Given numbers are 410,482,120,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 410,482,120,691 is 819332520.
Find LCM of 410,482,120,691 with Prime Factorization
2 | 410, 482, 120, 691 |
5 | 205, 241, 60, 691 |
41, 241, 12, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 241 x 12 x 691 = 819332520
Therefore, the lowest common multiple of 410,482,120,691 is 819332520.
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.
410 x 482 x 120 x 691 = 16386650400
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.
410 : 1, 2, 5, 10, 41, 82, 205, 410
482 : 1, 2, 241, 482
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,482,120,691, is 1.
Now, the common factors can be found like this.
410:2x 5x 41
482:2x 241
120:2x 2x 2x 3x 5
691:691
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 5 = 20
Therefore, the value for common factors is 20.
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 = 16386650400/(1x20)
LCM = 16386650400/20
LCM = 819332520
Thus, we can understand that the LCM of 410,482,120,691 is 819332520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 410, 482, 120, 691?
Answer: LCM of 410, 482, 120, 691 is 819332520.
2. How to calculate the LCM of 410, 482, 120, 691?
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 410, 482, 120, 691.
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}.