LCM of 628, 308, 578, 590, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 308, 578, 590, 380 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 628, 308, 578, 590, 380. So, keep reading to learn more.
Given numbers are 628,308,578,590,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,308,578,590,380 is 78329224820.
Find LCM of 628,308,578,590,380 with Prime Factorization
| 2 | 628, 308, 578, 590, 380 |
| 2 | 314, 154, 289, 295, 190 |
| 5 | 157, 77, 289, 295, 95 |
| 157, 77, 289, 59, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 157 x 77 x 289 x 59 x 19 = 78329224820
Therefore, the lowest common multiple of 628,308,578,590,380 is 78329224820.
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.
628 x 308 x 578 x 590 x 380 = 25065351942400
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.
628 : 1, 2, 4, 157, 314, 628
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
578 : 1, 2, 17, 34, 289, 578
590 : 1, 2, 5, 10, 59, 118, 295, 590
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,308,578,590,380, is 2.
Now, the common factors can be found like this.
628:2x 2x 157
308:2x 2x 7x 11
578:2x 17x 17
590:2x 5x 59
380:2x 2x 5x 19
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 5 = 160
Therefore, the value for common factors is 160.
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 = 25065351942400/(2x160)
LCM = 25065351942400/320
LCM = 78329224820
Thus, we can understand that the LCM of 628,308,578,590,380 is 78329224820.
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FAQs on LCM of 628, 308, 578, 590, 380
1. What is the LCM of 628, 308, 578, 590, 380?
Answer: LCM of 628, 308, 578, 590, 380 is 78329224820.
2. How to calculate the LCM of 628, 308, 578, 590, 380?
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 628, 308, 578, 590, 380.
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}.