LCM of 305, 916, 344, 586, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 916, 344, 586, 352 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 305, 916, 344, 586, 352. So, keep reading to learn more.
Given numbers are 305,916,344,586,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,916,344,586,352 is 309751958560.
Find LCM of 305,916,344,586,352 with Prime Factorization
| 2 | 305, 916, 344, 586, 352 |
| 2 | 305, 458, 172, 293, 176 |
| 2 | 305, 229, 86, 293, 88 |
| 305, 229, 43, 293, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 305 x 229 x 43 x 293 x 44 = 309751958560
Therefore, the lowest common multiple of 305,916,344,586,352 is 309751958560.
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.
305 x 916 x 344 x 586 x 352 = 19824125347840
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.
305 : 1, 5, 61, 305
916 : 1, 2, 4, 229, 458, 916
344 : 1, 2, 4, 8, 43, 86, 172, 344
586 : 1, 2, 293, 586
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,916,344,586,352, is 1.
Now, the common factors can be found like this.
305:5x 61
916:2x 2x 229
344:2x 2x 2x 43
586:2x 293
352:2x 2x 2x 2x 2x 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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 19824125347840/(1x64)
LCM = 19824125347840/64
LCM = 309751958560
Thus, we can understand that the LCM of 305,916,344,586,352 is 309751958560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 916, 344, 586, 352
1. What is the LCM of 305, 916, 344, 586, 352?
Answer: LCM of 305, 916, 344, 586, 352 is 309751958560.
2. How to calculate the LCM of 305, 916, 344, 586, 352?
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 305, 916, 344, 586, 352.
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}.