LCM of 394, 346, 426, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 346, 426, 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 394, 346, 426, 378. So, keep reading to learn more.
Given numbers are 394,346,426,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,346,426,378 is 914665878.
Find LCM of 394,346,426,378 with Prime Factorization
| 2 | 394, 346, 426, 378 |
| 3 | 197, 173, 213, 189 |
| 197, 173, 71, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 173 x 71 x 63 = 914665878
Therefore, the lowest common multiple of 394,346,426,378 is 914665878.
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.
394 x 346 x 426 x 378 = 21951981072
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.
394 : 1, 2, 197, 394
346 : 1, 2, 173, 346
426 : 1, 2, 3, 6, 71, 142, 213, 426
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 394,346,426,378, is 2.
Now, the common factors can be found like this.
394:2x 197
346:2x 173
426:2x 3x 71
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 3 = 12
Therefore, the value for common factors is 12.
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 = 21951981072/(2x12)
LCM = 21951981072/24
LCM = 914665878
Thus, we can understand that the LCM of 394,346,426,378 is 914665878.
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FAQs on LCM of 394, 346, 426, 378
1. What is the LCM of 394, 346, 426, 378?
Answer: LCM of 394, 346, 426, 378 is 914665878.
2. How to calculate the LCM of 394, 346, 426, 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 394, 346, 426, 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}.