Find the LCM of 380, 323, 235, 805, 611 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 380, 323, 235, 805, 611. So, keep reading to learn more.
Given numbers are 380,323,235,805,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,323,235,805,611 is 635476660.
Find LCM of 380,323,235,805,611 with Prime Factorization
5 | 380, 323, 235, 805, 611 |
19 | 76, 323, 47, 161, 611 |
47 | 4, 17, 47, 161, 611 |
4, 17, 1, 161, 13 |
Multiply the prime numbers at the bottom and the left side.
5 x 19 x 47 x 4 x 17 x 1 x 161 x 13 = 635476660
Therefore, the lowest common multiple of 380,323,235,805,611 is 635476660.
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.
380 x 323 x 235 x 805 x 611 = 14187016434500
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
323 : 1, 17, 19, 323
235 : 1, 5, 47, 235
805 : 1, 5, 7, 23, 35, 115, 161, 805
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,323,235,805,611, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
323:17x 19
235:5x 47
805:5x 7x 23
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 19x 47 = 22325
Therefore, the value for common factors is 22325.
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 = 14187016434500/(1x22325)
LCM = 14187016434500/22325
LCM = 635476660
Thus, we can understand that the LCM of 380,323,235,805,611 is 635476660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 323, 235, 805, 611?
Answer: LCM of 380, 323, 235, 805, 611 is 635476660.
2. How to calculate the LCM of 380, 323, 235, 805, 611?
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 380, 323, 235, 805, 611.
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}.