LCM of 848, 259, 916, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 848, 259, 916, 325 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, 259, 916, 325. So, keep reading to learn more.
Given numbers are 848,259,916,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,259,916,325 is 16346111600.
Find LCM of 848,259,916,325 with Prime Factorization
| 2 | 848, 259, 916, 325 |
| 2 | 424, 259, 458, 325 |
| 212, 259, 229, 325 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 212 x 259 x 229 x 325 = 16346111600
Therefore, the lowest common multiple of 848,259,916,325 is 16346111600.
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 259 x 916 x 325 = 65384446400
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
259 : 1, 7, 37, 259
916 : 1, 2, 4, 229, 458, 916
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,259,916,325, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
259:7x 37
916:2x 2x 229
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 65384446400/(1x4)
LCM = 65384446400/4
LCM = 16346111600
Thus, we can understand that the LCM of 848,259,916,325 is 16346111600.
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FAQs on LCM of 848, 259, 916, 325
1. What is the LCM of 848, 259, 916, 325?
Answer: LCM of 848, 259, 916, 325 is 16346111600.
2. How to calculate the LCM of 848, 259, 916, 325?
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, 259, 916, 325.
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}.