LCM of 314, 628, 344, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 628, 344, 578 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 314, 628, 344, 578. So, keep reading to learn more.
Given numbers are 314,628,344,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,628,344,578 is 15608312.
Find LCM of 314,628,344,578 with Prime Factorization
| 2 | 314, 628, 344, 578 |
| 2 | 157, 314, 172, 289 |
| 157 | 157, 157, 86, 289 |
| 1, 1, 86, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 157 x 1 x 1 x 86 x 289 = 15608312
Therefore, the lowest common multiple of 314,628,344,578 is 15608312.
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.
314 x 628 x 344 x 578 = 39208079744
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.
314 : 1, 2, 157, 314
628 : 1, 2, 4, 157, 314, 628
344 : 1, 2, 4, 8, 43, 86, 172, 344
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,628,344,578, is 2.
Now, the common factors can be found like this.
314:2x 157
628:2x 2x 157
344:2x 2x 2x 43
578:2x 17x 17
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 157 = 1256
Therefore, the value for common factors is 1256.
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 = 39208079744/(2x1256)
LCM = 39208079744/2512
LCM = 15608312
Thus, we can understand that the LCM of 314,628,344,578 is 15608312.
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FAQs on LCM of 314, 628, 344, 578
1. What is the LCM of 314, 628, 344, 578?
Answer: LCM of 314, 628, 344, 578 is 15608312.
2. How to calculate the LCM of 314, 628, 344, 578?
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 314, 628, 344, 578.
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}.