LCM of 428, 367, 856, 591, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 367, 856, 591, 689 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 428, 367, 856, 591, 689. So, keep reading to learn more.
Given numbers are 428,367,856,591,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,367,856,591,689 is 127922380248.
Find LCM of 428,367,856,591,689 with Prime Factorization
| 2 | 428, 367, 856, 591, 689 |
| 2 | 214, 367, 428, 591, 689 |
| 107 | 107, 367, 214, 591, 689 |
| 1, 367, 2, 591, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 1 x 367 x 2 x 591 x 689 = 127922380248
Therefore, the lowest common multiple of 428,367,856,591,689 is 127922380248.
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.
428 x 367 x 856 x 591 x 689 = 54750778746144
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.
428 : 1, 2, 4, 107, 214, 428
367 : 1, 367
856 : 1, 2, 4, 8, 107, 214, 428, 856
591 : 1, 3, 197, 591
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,367,856,591,689, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
367:367
856:2x 2x 2x 107
591:3x 197
689:13x 53
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 107 = 428
Therefore, the value for common factors is 428.
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 = 54750778746144/(1x428)
LCM = 54750778746144/428
LCM = 127922380248
Thus, we can understand that the LCM of 428,367,856,591,689 is 127922380248.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 428, 367, 856, 591, 689
1. What is the LCM of 428, 367, 856, 591, 689?
Answer: LCM of 428, 367, 856, 591, 689 is 127922380248.
2. How to calculate the LCM of 428, 367, 856, 591, 689?
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 428, 367, 856, 591, 689.
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}.