LCM of 106, 394, 319, 537, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 394, 319, 537, 902 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 106, 394, 319, 537, 902. So, keep reading to learn more.
Given numbers are 106,394,319,537,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,394,319,537,902 is 146663119086.
Find LCM of 106,394,319,537,902 with Prime Factorization
| 2 | 106, 394, 319, 537, 902 |
| 11 | 53, 197, 319, 537, 451 |
| 53, 197, 29, 537, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 53 x 197 x 29 x 537 x 41 = 146663119086
Therefore, the lowest common multiple of 106,394,319,537,902 is 146663119086.
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.
106 x 394 x 319 x 537 x 902 = 6453177239784
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.
106 : 1, 2, 53, 106
394 : 1, 2, 197, 394
319 : 1, 11, 29, 319
537 : 1, 3, 179, 537
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,394,319,537,902, is 1.
Now, the common factors can be found like this.
106:2x 53
394:2x 197
319:11x 29
537:3x 179
902:2x 11x 41
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 11 = 44
Therefore, the value for common factors is 44.
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 = 6453177239784/(1x44)
LCM = 6453177239784/44
LCM = 146663119086
Thus, we can understand that the LCM of 106,394,319,537,902 is 146663119086.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 106, 394, 319, 537, 902
1. What is the LCM of 106, 394, 319, 537, 902?
Answer: LCM of 106, 394, 319, 537, 902 is 146663119086.
2. How to calculate the LCM of 106, 394, 319, 537, 902?
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 106, 394, 319, 537, 902.
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}.