LCM of 902, 319, 522, 962, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 319, 522, 962, 146 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 902, 319, 522, 962, 146. So, keep reading to learn more.
Given numbers are 902,319,522,962,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,319,522,962,146 is 8266372686.
Find LCM of 902,319,522,962,146 with Prime Factorization
| 2 | 902, 319, 522, 962, 146 |
| 11 | 451, 319, 261, 481, 73 |
| 29 | 41, 29, 261, 481, 73 |
| 41, 1, 9, 481, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 41 x 1 x 9 x 481 x 73 = 8266372686
Therefore, the lowest common multiple of 902,319,522,962,146 is 8266372686.
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.
902 x 319 x 522 x 962 x 146 = 21095783094672
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
319 : 1, 11, 29, 319
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
962 : 1, 2, 13, 26, 37, 74, 481, 962
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,319,522,962,146, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
319:11x 29
522:2x 3x 3x 29
962:2x 13x 37
146:2x 73
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 21095783094672/(1x2552)
LCM = 21095783094672/2552
LCM = 8266372686
Thus, we can understand that the LCM of 902,319,522,962,146 is 8266372686.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 319, 522, 962, 146
1. What is the LCM of 902, 319, 522, 962, 146?
Answer: LCM of 902, 319, 522, 962, 146 is 8266372686.
2. How to calculate the LCM of 902, 319, 522, 962, 146?
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 902, 319, 522, 962, 146.
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}.