LCM of 599, 120, 904, 715, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 120, 904, 715, 257 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 599, 120, 904, 715, 257. So, keep reading to learn more.
Given numbers are 599,120,904,715,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,120,904,715,257 is 298507792440.
Find LCM of 599,120,904,715,257 with Prime Factorization
| 2 | 599, 120, 904, 715, 257 |
| 2 | 599, 60, 452, 715, 257 |
| 2 | 599, 30, 226, 715, 257 |
| 5 | 599, 15, 113, 715, 257 |
| 599, 3, 113, 143, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 599 x 3 x 113 x 143 x 257 = 298507792440
Therefore, the lowest common multiple of 599,120,904,715,257 is 298507792440.
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.
599 x 120 x 904 x 715 x 257 = 11940311697600
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.
599 : 1, 599
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
904 : 1, 2, 4, 8, 113, 226, 452, 904
715 : 1, 5, 11, 13, 55, 65, 143, 715
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,120,904,715,257, is 1.
Now, the common factors can be found like this.
599:599
120:2x 2x 2x 3x 5
904:2x 2x 2x 113
715:5x 11x 13
257:257
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 5 = 40
Therefore, the value for common factors is 40.
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 = 11940311697600/(1x40)
LCM = 11940311697600/40
LCM = 298507792440
Thus, we can understand that the LCM of 599,120,904,715,257 is 298507792440.
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FAQs on LCM of 599, 120, 904, 715, 257
1. What is the LCM of 599, 120, 904, 715, 257?
Answer: LCM of 599, 120, 904, 715, 257 is 298507792440.
2. How to calculate the LCM of 599, 120, 904, 715, 257?
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 599, 120, 904, 715, 257.
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}.