LCM of 774, 172, 312, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 172, 312, 338 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 774, 172, 312, 338. So, keep reading to learn more.
Given numbers are 774,172,312,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,172,312,338 is 523224.
Find LCM of 774,172,312,338 with Prime Factorization
| 2 | 774, 172, 312, 338 |
| 2 | 387, 86, 156, 169 |
| 3 | 387, 43, 78, 169 |
| 13 | 129, 43, 26, 169 |
| 43 | 129, 43, 2, 13 |
| 3, 1, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 43 x 3 x 1 x 2 x 13 = 523224
Therefore, the lowest common multiple of 774,172,312,338 is 523224.
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.
774 x 172 x 312 x 338 = 14039146368
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
172 : 1, 2, 4, 43, 86, 172
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
338 : 1, 2, 13, 26, 169, 338
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,172,312,338, is 2.
Now, the common factors can be found like this.
774:2x 3x 3x 43
172:2x 2x 43
312:2x 2x 2x 3x 13
338:2x 13x 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 3x 13x 43 = 13416
Therefore, the value for common factors is 13416.
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 = 14039146368/(2x13416)
LCM = 14039146368/26832
LCM = 523224
Thus, we can understand that the LCM of 774,172,312,338 is 523224.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 172, 312, 338
1. What is the LCM of 774, 172, 312, 338?
Answer: LCM of 774, 172, 312, 338 is 523224.
2. How to calculate the LCM of 774, 172, 312, 338?
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 774, 172, 312, 338.
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}.