LCM of 214, 273, 902, 561, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 273, 902, 561, 163 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 214, 273, 902, 561, 163. So, keep reading to learn more.
Given numbers are 214,273,902,561,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,273,902,561,163 is 73011200262.
Find LCM of 214,273,902,561,163 with Prime Factorization
| 2 | 214, 273, 902, 561, 163 |
| 3 | 107, 273, 451, 561, 163 |
| 11 | 107, 91, 451, 187, 163 |
| 107, 91, 41, 17, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 107 x 91 x 41 x 17 x 163 = 73011200262
Therefore, the lowest common multiple of 214,273,902,561,163 is 73011200262.
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.
214 x 273 x 902 x 561 x 163 = 4818739217292
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.
214 : 1, 2, 107, 214
273 : 1, 3, 7, 13, 21, 39, 91, 273
902 : 1, 2, 11, 22, 41, 82, 451, 902
561 : 1, 3, 11, 17, 33, 51, 187, 561
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,273,902,561,163, is 1.
Now, the common factors can be found like this.
214:2x 107
273:3x 7x 13
902:2x 11x 41
561:3x 11x 17
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 4818739217292/(1x66)
LCM = 4818739217292/66
LCM = 73011200262
Thus, we can understand that the LCM of 214,273,902,561,163 is 73011200262.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 214, 273, 902, 561, 163
1. What is the LCM of 214, 273, 902, 561, 163?
Answer: LCM of 214, 273, 902, 561, 163 is 73011200262.
2. How to calculate the LCM of 214, 273, 902, 561, 163?
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 214, 273, 902, 561, 163.
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}.