Find the LCM of 408, 343, 263, 746, 833 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 408, 343, 263, 746, 833. So, keep reading to learn more.
Given numbers are 408,343,263,746,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,343,263,746,833 is 13728366456.
Find LCM of 408,343,263,746,833 with Prime Factorization
2 | 408, 343, 263, 746, 833 |
7 | 204, 343, 263, 373, 833 |
7 | 204, 49, 263, 373, 119 |
17 | 204, 7, 263, 373, 17 |
12, 7, 263, 373, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 17 x 12 x 7 x 263 x 373 x 1 = 13728366456
Therefore, the lowest common multiple of 408,343,263,746,833 is 13728366456.
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.
408 x 343 x 263 x 746 x 833 = 22871458515696
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
343 : 1, 7, 49, 343
263 : 1, 263
746 : 1, 2, 373, 746
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,343,263,746,833, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
343:7x 7x 7
263:263
746:2x 373
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 22871458515696/(1x1666)
LCM = 22871458515696/1666
LCM = 13728366456
Thus, we can understand that the LCM of 408,343,263,746,833 is 13728366456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 343, 263, 746, 833?
Answer: LCM of 408, 343, 263, 746, 833 is 13728366456.
2. How to calculate the LCM of 408, 343, 263, 746, 833?
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 408, 343, 263, 746, 833.
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}.