LCM of 477, 845, 689, 538, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 845, 689, 538, 690 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 477, 845, 689, 538, 690. So, keep reading to learn more.
Given numbers are 477,845,689,538,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,845,689,538,690 is 4987526310.
Find LCM of 477,845,689,538,690 with Prime Factorization
| 2 | 477, 845, 689, 538, 690 |
| 3 | 477, 845, 689, 269, 345 |
| 5 | 159, 845, 689, 269, 115 |
| 13 | 159, 169, 689, 269, 23 |
| 53 | 159, 13, 53, 269, 23 |
| 3, 13, 1, 269, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 53 x 3 x 13 x 1 x 269 x 23 = 4987526310
Therefore, the lowest common multiple of 477,845,689,538,690 is 4987526310.
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.
477 x 845 x 689 x 538 x 690 = 103092168827700
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.
477 : 1, 3, 9, 53, 159, 477
845 : 1, 5, 13, 65, 169, 845
689 : 1, 13, 53, 689
538 : 1, 2, 269, 538
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,845,689,538,690, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
845:5x 13x 13
689:13x 53
538:2x 269
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 13x 53 = 20670
Therefore, the value for common factors is 20670.
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 = 103092168827700/(1x20670)
LCM = 103092168827700/20670
LCM = 4987526310
Thus, we can understand that the LCM of 477,845,689,538,690 is 4987526310.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 477, 845, 689, 538, 690
1. What is the LCM of 477, 845, 689, 538, 690?
Answer: LCM of 477, 845, 689, 538, 690 is 4987526310.
2. How to calculate the LCM of 477, 845, 689, 538, 690?
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 477, 845, 689, 538, 690.
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}.