LCM of 951, 505, 285, 377, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 505, 285, 377, 589 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 951, 505, 285, 377, 589. So, keep reading to learn more.
Given numbers are 951,505,285,377,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,505,285,377,589 is 106642063515.
Find LCM of 951,505,285,377,589 with Prime Factorization
| 3 | 951, 505, 285, 377, 589 |
| 5 | 317, 505, 95, 377, 589 |
| 19 | 317, 101, 19, 377, 589 |
| 317, 101, 1, 377, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 317 x 101 x 1 x 377 x 31 = 106642063515
Therefore, the lowest common multiple of 951,505,285,377,589 is 106642063515.
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.
951 x 505 x 285 x 377 x 589 = 30392988101775
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.
951 : 1, 3, 317, 951
505 : 1, 5, 101, 505
285 : 1, 3, 5, 15, 19, 57, 95, 285
377 : 1, 13, 29, 377
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,505,285,377,589, is 1.
Now, the common factors can be found like this.
951:3x 317
505:5x 101
285:3x 5x 19
377:13x 29
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 30392988101775/(1x285)
LCM = 30392988101775/285
LCM = 106642063515
Thus, we can understand that the LCM of 951,505,285,377,589 is 106642063515.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 951, 505, 285, 377, 589
1. What is the LCM of 951, 505, 285, 377, 589?
Answer: LCM of 951, 505, 285, 377, 589 is 106642063515.
2. How to calculate the LCM of 951, 505, 285, 377, 589?
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 951, 505, 285, 377, 589.
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}.