LCM of 848, 509, 634, 212, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 509, 634, 212, 242 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, 509, 634, 212, 242. So, keep reading to learn more.
Given numbers are 848,509,634,212,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,509,634,212,242 is 16556108624.
Find LCM of 848,509,634,212,242 with Prime Factorization
| 2 | 848, 509, 634, 212, 242 |
| 2 | 424, 509, 317, 106, 121 |
| 53 | 212, 509, 317, 53, 121 |
| 4, 509, 317, 1, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 4 x 509 x 317 x 1 x 121 = 16556108624
Therefore, the lowest common multiple of 848,509,634,212,242 is 16556108624.
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 509 x 634 x 212 x 242 = 14039580113152
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
509 : 1, 509
634 : 1, 2, 317, 634
212 : 1, 2, 4, 53, 106, 212
242 : 1, 2, 11, 22, 121, 242
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,509,634,212,242, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
509:509
634:2x 317
212:2x 2x 53
242:2x 11x 11
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 2x 53 = 848
Therefore, the value for common factors is 848.
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 = 14039580113152/(1x848)
LCM = 14039580113152/848
LCM = 16556108624
Thus, we can understand that the LCM of 848,509,634,212,242 is 16556108624.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 848, 509, 634, 212, 242
1. What is the LCM of 848, 509, 634, 212, 242?
Answer: LCM of 848, 509, 634, 212, 242 is 16556108624.
2. How to calculate the LCM of 848, 509, 634, 212, 242?
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, 509, 634, 212, 242.
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}.