LCM of 218, 394, 654, 762, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 394, 654, 762, 916 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 218, 394, 654, 762, 916. So, keep reading to learn more.
Given numbers are 218,394,654,762,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,394,654,762,916 is 7493991108.
Find LCM of 218,394,654,762,916 with Prime Factorization
| 2 | 218, 394, 654, 762, 916 |
| 3 | 109, 197, 327, 381, 458 |
| 109 | 109, 197, 109, 127, 458 |
| 1, 197, 1, 127, 458 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 1 x 197 x 1 x 127 x 458 = 7493991108
Therefore, the lowest common multiple of 218,394,654,762,916 is 7493991108.
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.
218 x 394 x 654 x 762 x 916 = 39208561477056
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.
218 : 1, 2, 109, 218
394 : 1, 2, 197, 394
654 : 1, 2, 3, 6, 109, 218, 327, 654
762 : 1, 2, 3, 6, 127, 254, 381, 762
916 : 1, 2, 4, 229, 458, 916
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,394,654,762,916, is 2.
Now, the common factors can be found like this.
218:2x 109
394:2x 197
654:2x 3x 109
762:2x 3x 127
916:2x 2x 229
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 3x 109 = 2616
Therefore, the value for common factors is 2616.
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 = 39208561477056/(2x2616)
LCM = 39208561477056/5232
LCM = 7493991108
Thus, we can understand that the LCM of 218,394,654,762,916 is 7493991108.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 394, 654, 762, 916
1. What is the LCM of 218, 394, 654, 762, 916?
Answer: LCM of 218, 394, 654, 762, 916 is 7493991108.
2. How to calculate the LCM of 218, 394, 654, 762, 916?
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 218, 394, 654, 762, 916.
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}.