LCM of 770, 246, 273, 997, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 246, 273, 997, 522 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 770, 246, 273, 997, 522. So, keep reading to learn more.
Given numbers are 770,246,273,997,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,246,273,997,522 is 106795658970.
Find LCM of 770,246,273,997,522 with Prime Factorization
| 2 | 770, 246, 273, 997, 522 |
| 3 | 385, 123, 273, 997, 261 |
| 7 | 385, 41, 91, 997, 87 |
| 55, 41, 13, 997, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 55 x 41 x 13 x 997 x 87 = 106795658970
Therefore, the lowest common multiple of 770,246,273,997,522 is 106795658970.
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.
770 x 246 x 273 x 997 x 522 = 26912506060440
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
246 : 1, 2, 3, 6, 41, 82, 123, 246
273 : 1, 3, 7, 13, 21, 39, 91, 273
997 : 1, 997
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,246,273,997,522, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
246:2x 3x 41
273:3x 7x 13
997:997
522:2x 3x 3x 29
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 26912506060440/(1x252)
LCM = 26912506060440/252
LCM = 106795658970
Thus, we can understand that the LCM of 770,246,273,997,522 is 106795658970.
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FAQs on LCM of 770, 246, 273, 997, 522
1. What is the LCM of 770, 246, 273, 997, 522?
Answer: LCM of 770, 246, 273, 997, 522 is 106795658970.
2. How to calculate the LCM of 770, 246, 273, 997, 522?
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 770, 246, 273, 997, 522.
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}.