Find the LCM of 470, 701, 754, 611, 323 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 470, 701, 754, 611, 323. So, keep reading to learn more.
Given numbers are 470,701,754,611,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,701,754,611,323 is 40119891370.
Find LCM of 470,701,754,611,323 with Prime Factorization
2 | 470, 701, 754, 611, 323 |
13 | 235, 701, 377, 611, 323 |
47 | 235, 701, 29, 47, 323 |
5, 701, 29, 1, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 47 x 5 x 701 x 29 x 1 x 323 = 40119891370
Therefore, the lowest common multiple of 470,701,754,611,323 is 40119891370.
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.
470 x 701 x 754 x 611 x 323 = 49026507254140
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
701 : 1, 701
754 : 1, 2, 13, 26, 29, 58, 377, 754
611 : 1, 13, 47, 611
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,701,754,611,323, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
701:701
754:2x 13x 29
611:13x 47
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 47 = 1222
Therefore, the value for common factors is 1222.
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 = 49026507254140/(1x1222)
LCM = 49026507254140/1222
LCM = 40119891370
Thus, we can understand that the LCM of 470,701,754,611,323 is 40119891370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 701, 754, 611, 323?
Answer: LCM of 470, 701, 754, 611, 323 is 40119891370.
2. How to calculate the LCM of 470, 701, 754, 611, 323?
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 470, 701, 754, 611, 323.
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}.