LCM of 635, 758, 705, 218, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 758, 705, 218, 280 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 635, 758, 705, 218, 280. So, keep reading to learn more.
Given numbers are 635,758,705,218,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,758,705,218,280 is 207131701560.
Find LCM of 635,758,705,218,280 with Prime Factorization
| 2 | 635, 758, 705, 218, 280 |
| 5 | 635, 379, 705, 109, 140 |
| 127, 379, 141, 109, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 127 x 379 x 141 x 109 x 28 = 207131701560
Therefore, the lowest common multiple of 635,758,705,218,280 is 207131701560.
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.
635 x 758 x 705 x 218 x 280 = 20713170156000
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.
635 : 1, 5, 127, 635
758 : 1, 2, 379, 758
705 : 1, 3, 5, 15, 47, 141, 235, 705
218 : 1, 2, 109, 218
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,758,705,218,280, is 1.
Now, the common factors can be found like this.
635:5x 127
758:2x 379
705:3x 5x 47
218:2x 109
280:2x 2x 2x 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 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 20713170156000/(1x100)
LCM = 20713170156000/100
LCM = 207131701560
Thus, we can understand that the LCM of 635,758,705,218,280 is 207131701560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 758, 705, 218, 280
1. What is the LCM of 635, 758, 705, 218, 280?
Answer: LCM of 635, 758, 705, 218, 280 is 207131701560.
2. How to calculate the LCM of 635, 758, 705, 218, 280?
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 635, 758, 705, 218, 280.
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}.