LCM of 154, 265, 689, 206, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 265, 689, 206, 747 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 154, 265, 689, 206, 747. So, keep reading to learn more.
Given numbers are 154,265,689,206,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,265,689,206,747 is 40819508730.
Find LCM of 154,265,689,206,747 with Prime Factorization
| 2 | 154, 265, 689, 206, 747 |
| 53 | 77, 265, 689, 103, 747 |
| 77, 5, 13, 103, 747 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 77 x 5 x 13 x 103 x 747 = 40819508730
Therefore, the lowest common multiple of 154,265,689,206,747 is 40819508730.
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.
154 x 265 x 689 x 206 x 747 = 4326867925380
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
265 : 1, 5, 53, 265
689 : 1, 13, 53, 689
206 : 1, 2, 103, 206
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,265,689,206,747, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
265:5x 53
689:13x 53
206:2x 103
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 53 = 106
Therefore, the value for common factors is 106.
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 = 4326867925380/(1x106)
LCM = 4326867925380/106
LCM = 40819508730
Thus, we can understand that the LCM of 154,265,689,206,747 is 40819508730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 265, 689, 206, 747
1. What is the LCM of 154, 265, 689, 206, 747?
Answer: LCM of 154, 265, 689, 206, 747 is 40819508730.
2. How to calculate the LCM of 154, 265, 689, 206, 747?
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 154, 265, 689, 206, 747.
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}.