LCM of 848, 684, 273, 218, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 684, 273, 218, 551 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 848, 684, 273, 218, 551. So, keep reading to learn more.
Given numbers are 848,684,273,218,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,684,273,218,551 is 41711696208.
Find LCM of 848,684,273,218,551 with Prime Factorization
| 2 | 848, 684, 273, 218, 551 |
| 2 | 424, 342, 273, 109, 551 |
| 3 | 212, 171, 273, 109, 551 |
| 19 | 212, 57, 91, 109, 551 |
| 212, 3, 91, 109, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 212 x 3 x 91 x 109 x 29 = 41711696208
Therefore, the lowest common multiple of 848,684,273,218,551 is 41711696208.
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.
848 x 684 x 273 x 218 x 551 = 19020533470848
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
273 : 1, 3, 7, 13, 21, 39, 91, 273
218 : 1, 2, 109, 218
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,684,273,218,551, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
684:2x 2x 3x 3x 19
273:3x 7x 13
218:2x 109
551:19x 29
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 2x 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 19020533470848/(1x456)
LCM = 19020533470848/456
LCM = 41711696208
Thus, we can understand that the LCM of 848,684,273,218,551 is 41711696208.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 848, 684, 273, 218, 551
1. What is the LCM of 848, 684, 273, 218, 551?
Answer: LCM of 848, 684, 273, 218, 551 is 41711696208.
2. How to calculate the LCM of 848, 684, 273, 218, 551?
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 848, 684, 273, 218, 551.
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}.