LCM of 290, 312, 667, 628, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 312, 667, 628, 310 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 290, 312, 667, 628, 310. So, keep reading to learn more.
Given numbers are 290,312,667,628,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,312,667,628,310 is 5064210840.
Find LCM of 290,312,667,628,310 with Prime Factorization
| 2 | 290, 312, 667, 628, 310 |
| 2 | 145, 156, 667, 314, 155 |
| 5 | 145, 78, 667, 157, 155 |
| 29 | 29, 78, 667, 157, 31 |
| 1, 78, 23, 157, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 1 x 78 x 23 x 157 x 31 = 5064210840
Therefore, the lowest common multiple of 290,312,667,628,310 is 5064210840.
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.
290 x 312 x 667 x 628 x 310 = 11748969148800
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
667 : 1, 23, 29, 667
628 : 1, 2, 4, 157, 314, 628
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,312,667,628,310, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
312:2x 2x 2x 3x 13
667:23x 29
628:2x 2x 157
310:2x 5x 31
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 5x 29 = 2320
Therefore, the value for common factors is 2320.
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 = 11748969148800/(1x2320)
LCM = 11748969148800/2320
LCM = 5064210840
Thus, we can understand that the LCM of 290,312,667,628,310 is 5064210840.
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FAQs on LCM of 290, 312, 667, 628, 310
1. What is the LCM of 290, 312, 667, 628, 310?
Answer: LCM of 290, 312, 667, 628, 310 is 5064210840.
2. How to calculate the LCM of 290, 312, 667, 628, 310?
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 290, 312, 667, 628, 310.
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}.