LCM of 293, 638, 451, 407, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 638, 451, 407, 210 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 293, 638, 451, 407, 210. So, keep reading to learn more.
Given numbers are 293,638,451,407,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,638,451,407,210 is 29775782190.
Find LCM of 293,638,451,407,210 with Prime Factorization
| 2 | 293, 638, 451, 407, 210 |
| 11 | 293, 319, 451, 407, 105 |
| 293, 29, 41, 37, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 293 x 29 x 41 x 37 x 105 = 29775782190
Therefore, the lowest common multiple of 293,638,451,407,210 is 29775782190.
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.
293 x 638 x 451 x 407 x 210 = 7205739289980
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.
293 : 1, 293
638 : 1, 2, 11, 22, 29, 58, 319, 638
451 : 1, 11, 41, 451
407 : 1, 11, 37, 407
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,638,451,407,210, is 1.
Now, the common factors can be found like this.
293:293
638:2x 11x 29
451:11x 41
407:11x 37
210:2x 3x 5x 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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 7205739289980/(1x242)
LCM = 7205739289980/242
LCM = 29775782190
Thus, we can understand that the LCM of 293,638,451,407,210 is 29775782190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 638, 451, 407, 210
1. What is the LCM of 293, 638, 451, 407, 210?
Answer: LCM of 293, 638, 451, 407, 210 is 29775782190.
2. How to calculate the LCM of 293, 638, 451, 407, 210?
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 293, 638, 451, 407, 210.
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}.