LCM of 289, 667, 841, 690, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 667, 841, 690, 850 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 289, 667, 841, 690, 850. So, keep reading to learn more.
Given numbers are 289,667,841,690,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,667,841,690,850 is 838519050.
Find LCM of 289,667,841,690,850 with Prime Factorization
| 2 | 289, 667, 841, 690, 850 |
| 5 | 289, 667, 841, 345, 425 |
| 17 | 289, 667, 841, 69, 85 |
| 23 | 17, 667, 841, 69, 5 |
| 29 | 17, 29, 841, 3, 5 |
| 17, 1, 29, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 23 x 29 x 17 x 1 x 29 x 3 x 5 = 838519050
Therefore, the lowest common multiple of 289,667,841,690,850 is 838519050.
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.
289 x 667 x 841 x 690 x 850 = 95079675079500
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.
289 : 1, 17, 289
667 : 1, 23, 29, 667
841 : 1, 29, 841
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,667,841,690,850, is 1.
Now, the common factors can be found like this.
289:17x 17
667:23x 29
841:29x 29
690:2x 3x 5x 23
850:2x 5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 23x 29 = 113390
Therefore, the value for common factors is 113390.
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 = 95079675079500/(1x113390)
LCM = 95079675079500/113390
LCM = 838519050
Thus, we can understand that the LCM of 289,667,841,690,850 is 838519050.
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FAQs on LCM of 289, 667, 841, 690, 850
1. What is the LCM of 289, 667, 841, 690, 850?
Answer: LCM of 289, 667, 841, 690, 850 is 838519050.
2. How to calculate the LCM of 289, 667, 841, 690, 850?
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 289, 667, 841, 690, 850.
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}.