LCM of 296, 170, 448, 968, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 170, 448, 968, 174 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 296, 170, 448, 968, 174. So, keep reading to learn more.
Given numbers are 296,170,448,968,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,170,448,968,174 is 14832121920.
Find LCM of 296,170,448,968,174 with Prime Factorization
| 2 | 296, 170, 448, 968, 174 |
| 2 | 148, 85, 224, 484, 87 |
| 2 | 74, 85, 112, 242, 87 |
| 37, 85, 56, 121, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 85 x 56 x 121 x 87 = 14832121920
Therefore, the lowest common multiple of 296,170,448,968,174 is 14832121920.
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.
296 x 170 x 448 x 968 x 174 = 3797023211520
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
170 : 1, 2, 5, 10, 17, 34, 85, 170
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
174 : 1, 2, 3, 6, 29, 58, 87, 174
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,170,448,968,174, is 2.
Now, the common factors can be found like this.
296:2x 2x 2x 37
170:2x 5x 17
448:2x 2x 2x 2x 2x 2x 7
968:2x 2x 2x 11x 11
174:2x 3x 29
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 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 3797023211520/(2x128)
LCM = 3797023211520/256
LCM = 14832121920
Thus, we can understand that the LCM of 296,170,448,968,174 is 14832121920.
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FAQs on LCM of 296, 170, 448, 968, 174
1. What is the LCM of 296, 170, 448, 968, 174?
Answer: LCM of 296, 170, 448, 968, 174 is 14832121920.
2. How to calculate the LCM of 296, 170, 448, 968, 174?
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 296, 170, 448, 968, 174.
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}.