LCM of 856, 935, 542, 655, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 935, 542, 655, 289 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 856, 935, 542, 655, 289. So, keep reading to learn more.
Given numbers are 856,935,542,655,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,935,542,655,289 is 483030866120.
Find LCM of 856,935,542,655,289 with Prime Factorization
| 2 | 856, 935, 542, 655, 289 |
| 5 | 428, 935, 271, 655, 289 |
| 17 | 428, 187, 271, 131, 289 |
| 428, 11, 271, 131, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 428 x 11 x 271 x 131 x 17 = 483030866120
Therefore, the lowest common multiple of 856,935,542,655,289 is 483030866120.
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.
856 x 935 x 542 x 655 x 289 = 82115247240400
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
935 : 1, 5, 11, 17, 55, 85, 187, 935
542 : 1, 2, 271, 542
655 : 1, 5, 131, 655
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,935,542,655,289, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
935:5x 11x 17
542:2x 271
655:5x 131
289:17x 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 17 = 170
Therefore, the value for common factors is 170.
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 = 82115247240400/(1x170)
LCM = 82115247240400/170
LCM = 483030866120
Thus, we can understand that the LCM of 856,935,542,655,289 is 483030866120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 856, 935, 542, 655, 289
1. What is the LCM of 856, 935, 542, 655, 289?
Answer: LCM of 856, 935, 542, 655, 289 is 483030866120.
2. How to calculate the LCM of 856, 935, 542, 655, 289?
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 856, 935, 542, 655, 289.
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}.