LCM of 145, 755, 667, 115, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 755, 667, 115, 433 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 145, 755, 667, 115, 433. So, keep reading to learn more.
Given numbers are 145,755,667,115,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,755,667,115,433 is 218052305.
Find LCM of 145,755,667,115,433 with Prime Factorization
| 5 | 145, 755, 667, 115, 433 |
| 23 | 29, 151, 667, 23, 433 |
| 29 | 29, 151, 29, 1, 433 |
| 1, 151, 1, 1, 433 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 29 x 1 x 151 x 1 x 1 x 433 = 218052305
Therefore, the lowest common multiple of 145,755,667,115,433 is 218052305.
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.
145 x 755 x 667 x 115 x 433 = 3636022185875
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.
145 : 1, 5, 29, 145
755 : 1, 5, 151, 755
667 : 1, 23, 29, 667
115 : 1, 5, 23, 115
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,755,667,115,433, is 1.
Now, the common factors can be found like this.
145:5x 29
755:5x 151
667:23x 29
115:5x 23
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 23x 29 = 16675
Therefore, the value for common factors is 16675.
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 = 3636022185875/(1x16675)
LCM = 3636022185875/16675
LCM = 218052305
Thus, we can understand that the LCM of 145,755,667,115,433 is 218052305.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 145, 755, 667, 115, 433
1. What is the LCM of 145, 755, 667, 115, 433?
Answer: LCM of 145, 755, 667, 115, 433 is 218052305.
2. How to calculate the LCM of 145, 755, 667, 115, 433?
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 145, 755, 667, 115, 433.
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}.