Find the LCM of 469, 161, 323, 856, 107 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 469, 161, 323, 856, 107. So, keep reading to learn more.
Given numbers are 469,161,323,856,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,161,323,856,107 is 2982476056.
Find LCM of 469,161,323,856,107 with Prime Factorization
7 | 469, 161, 323, 856, 107 |
107 | 67, 23, 323, 856, 107 |
67, 23, 323, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 107 x 67 x 23 x 323 x 8 x 1 = 2982476056
Therefore, the lowest common multiple of 469,161,323,856,107 is 2982476056.
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.
469 x 161 x 323 x 856 x 107 = 2233874565944
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.
469 : 1, 7, 67, 469
161 : 1, 7, 23, 161
323 : 1, 17, 19, 323
856 : 1, 2, 4, 8, 107, 214, 428, 856
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,161,323,856,107, is 1.
Now, the common factors can be found like this.
469:7x 67
161:7x 23
323:17x 19
856:2x 2x 2x 107
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 107 = 749
Therefore, the value for common factors is 749.
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 = 2233874565944/(1x749)
LCM = 2233874565944/749
LCM = 2982476056
Thus, we can understand that the LCM of 469,161,323,856,107 is 2982476056.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 161, 323, 856, 107?
Answer: LCM of 469, 161, 323, 856, 107 is 2982476056.
2. How to calculate the LCM of 469, 161, 323, 856, 107?
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 469, 161, 323, 856, 107.
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}.