LCM of 879, 918, 181, 578, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 918, 181, 578, 558 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 879, 918, 181, 578, 558. So, keep reading to learn more.
Given numbers are 879,918,181,578,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,918,181,578,558 is 25656622938.
Find LCM of 879,918,181,578,558 with Prime Factorization
| 2 | 879, 918, 181, 578, 558 |
| 3 | 879, 459, 181, 289, 279 |
| 3 | 293, 153, 181, 289, 93 |
| 17 | 293, 51, 181, 289, 31 |
| 293, 3, 181, 17, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 293 x 3 x 181 x 17 x 31 = 25656622938
Therefore, the lowest common multiple of 879,918,181,578,558 is 25656622938.
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.
879 x 918 x 181 x 578 x 558 = 47105559714168
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.
879 : 1, 3, 293, 879
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
181 : 1, 181
578 : 1, 2, 17, 34, 289, 578
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,918,181,578,558, is 1.
Now, the common factors can be found like this.
879:3x 293
918:2x 3x 3x 3x 17
181:181
578:2x 17x 17
558:2x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 17 = 1836
Therefore, the value for common factors is 1836.
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 = 47105559714168/(1x1836)
LCM = 47105559714168/1836
LCM = 25656622938
Thus, we can understand that the LCM of 879,918,181,578,558 is 25656622938.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 879, 918, 181, 578, 558
1. What is the LCM of 879, 918, 181, 578, 558?
Answer: LCM of 879, 918, 181, 578, 558 is 25656622938.
2. How to calculate the LCM of 879, 918, 181, 578, 558?
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 879, 918, 181, 578, 558.
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}.