LCM of 635, 186, 680, 444, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 186, 680, 444, 218 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, 186, 680, 444, 218. So, keep reading to learn more.
Given numbers are 635,186,680,444,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,186,680,444,218 is 32390958840.
Find LCM of 635,186,680,444,218 with Prime Factorization
| 2 | 635, 186, 680, 444, 218 |
| 2 | 635, 93, 340, 222, 109 |
| 3 | 635, 93, 170, 111, 109 |
| 5 | 635, 31, 170, 37, 109 |
| 127, 31, 34, 37, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 127 x 31 x 34 x 37 x 109 = 32390958840
Therefore, the lowest common multiple of 635,186,680,444,218 is 32390958840.
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 186 x 680 x 444 x 218 = 7773830121600
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
186 : 1, 2, 3, 6, 31, 62, 93, 186
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,186,680,444,218, is 1.
Now, the common factors can be found like this.
635:5x 127
186:2x 3x 31
680:2x 2x 2x 5x 17
444:2x 2x 3x 37
218:2x 109
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 7773830121600/(1x240)
LCM = 7773830121600/240
LCM = 32390958840
Thus, we can understand that the LCM of 635,186,680,444,218 is 32390958840.
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FAQs on LCM of 635, 186, 680, 444, 218
1. What is the LCM of 635, 186, 680, 444, 218?
Answer: LCM of 635, 186, 680, 444, 218 is 32390958840.
2. How to calculate the LCM of 635, 186, 680, 444, 218?
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, 186, 680, 444, 218.
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}.