Find the LCM of 174, 944, 472, 167 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 174, 944, 472, 167. So, keep reading to learn more.
Given numbers are 174,944,472,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,944,472,167 is 13715376.
Find LCM of 174,944,472,167 with Prime Factorization
2 | 174, 944, 472, 167 |
2 | 87, 472, 236, 167 |
2 | 87, 118, 236, 167 |
59 | 87, 59, 118, 167 |
87, 1, 2, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 59 x 87 x 1 x 2 x 167 = 13715376
Therefore, the lowest common multiple of 174,944,472,167 is 13715376.
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.
174 x 944 x 472 x 167 = 12947314944
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
472 : 1, 2, 4, 8, 59, 118, 236, 472
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,944,472,167, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
944:2x 2x 2x 2x 59
472:2x 2x 2x 59
167:167
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 2x 2x 59 = 944
Therefore, the value for common factors is 944.
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 = 12947314944/(1x944)
LCM = 12947314944/944
LCM = 13715376
Thus, we can understand that the LCM of 174,944,472,167 is 13715376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 174, 944, 472, 167?
Answer: LCM of 174, 944, 472, 167 is 13715376.
2. How to calculate the LCM of 174, 944, 472, 167?
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 174, 944, 472, 167.
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}.