LCM of 622, 504, 734, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 504, 734, 378 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 622, 504, 734, 378. So, keep reading to learn more.
Given numbers are 622,504,734,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,504,734,378 is 172575144.
Find LCM of 622,504,734,378 with Prime Factorization
| 2 | 622, 504, 734, 378 |
| 3 | 311, 252, 367, 189 |
| 3 | 311, 84, 367, 63 |
| 7 | 311, 28, 367, 21 |
| 311, 4, 367, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 311 x 4 x 367 x 3 = 172575144
Therefore, the lowest common multiple of 622,504,734,378 is 172575144.
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.
622 x 504 x 734 x 378 = 86977872576
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.
622 : 1, 2, 311, 622
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
734 : 1, 2, 367, 734
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,504,734,378, is 2.
Now, the common factors can be found like this.
622:2x 311
504:2x 2x 2x 3x 3x 7
734:2x 367
378:2x 3x 3x 3x 7
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 86977872576/(2x252)
LCM = 86977872576/504
LCM = 172575144
Thus, we can understand that the LCM of 622,504,734,378 is 172575144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 622, 504, 734, 378
1. What is the LCM of 622, 504, 734, 378?
Answer: LCM of 622, 504, 734, 378 is 172575144.
2. How to calculate the LCM of 622, 504, 734, 378?
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 622, 504, 734, 378.
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}.