LCM of 176, 172, 424, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 172, 424, 104 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 176, 172, 424, 104. So, keep reading to learn more.
Given numbers are 176,172,424,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,172,424,104 is 5214352.
Find LCM of 176,172,424,104 with Prime Factorization
| 2 | 176, 172, 424, 104 |
| 2 | 88, 86, 212, 52 |
| 2 | 44, 43, 106, 26 |
| 22, 43, 53, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 22 x 43 x 53 x 13 = 5214352
Therefore, the lowest common multiple of 176,172,424,104 is 5214352.
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.
176 x 172 x 424 x 104 = 1334874112
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
172 : 1, 2, 4, 43, 86, 172
424 : 1, 2, 4, 8, 53, 106, 212, 424
104 : 1, 2, 4, 8, 13, 26, 52, 104
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,172,424,104, is 4.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
172:2x 2x 43
424:2x 2x 2x 53
104:2x 2x 2x 13
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 2 = 64
Therefore, the value for common factors is 64.
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 = 1334874112/(4x64)
LCM = 1334874112/256
LCM = 5214352
Thus, we can understand that the LCM of 176,172,424,104 is 5214352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 176, 172, 424, 104
1. What is the LCM of 176, 172, 424, 104?
Answer: LCM of 176, 172, 424, 104 is 5214352.
2. How to calculate the LCM of 176, 172, 424, 104?
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 176, 172, 424, 104.
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}.