LCM of 900, 689, 538, 123, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 689, 538, 123, 115 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 900, 689, 538, 123, 115. So, keep reading to learn more.
Given numbers are 900,689,538,123,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,689,538,123,115 is 157298906700.
Find LCM of 900,689,538,123,115 with Prime Factorization
| 2 | 900, 689, 538, 123, 115 |
| 3 | 450, 689, 269, 123, 115 |
| 5 | 150, 689, 269, 41, 115 |
| 30, 689, 269, 41, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 30 x 689 x 269 x 41 x 23 = 157298906700
Therefore, the lowest common multiple of 900,689,538,123,115 is 157298906700.
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.
900 x 689 x 538 x 123 x 115 = 4718967201000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
689 : 1, 13, 53, 689
538 : 1, 2, 269, 538
123 : 1, 3, 41, 123
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,689,538,123,115, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
689:13x 53
538:2x 269
123:3x 41
115:5x 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 5 = 30
Therefore, the value for common factors is 30.
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 = 4718967201000/(1x30)
LCM = 4718967201000/30
LCM = 157298906700
Thus, we can understand that the LCM of 900,689,538,123,115 is 157298906700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 900, 689, 538, 123, 115
1. What is the LCM of 900, 689, 538, 123, 115?
Answer: LCM of 900, 689, 538, 123, 115 is 157298906700.
2. How to calculate the LCM of 900, 689, 538, 123, 115?
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 900, 689, 538, 123, 115.
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}.