LCM of 315, 791, 904, 125
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 791, 904, 125 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 315, 791, 904, 125. So, keep reading to learn more.
Given numbers are 315,791,904,125
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,791,904,125 is 7119000.
Find LCM of 315,791,904,125 with Prime Factorization
| 5 | 315, 791, 904, 125 |
| 7 | 63, 791, 904, 25 |
| 113 | 9, 113, 904, 25 |
| 9, 1, 8, 25 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 113 x 9 x 1 x 8 x 25 = 7119000
Therefore, the lowest common multiple of 315,791,904,125 is 7119000.
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.
315 x 791 x 904 x 125 = 28155645000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
791 : 1, 7, 113, 791
904 : 1, 2, 4, 8, 113, 226, 452, 904
125 : 1, 5, 25, 125
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,791,904,125, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
791:7x 113
904:2x 2x 2x 113
125:5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 113 = 3955
Therefore, the value for common factors is 3955.
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 = 28155645000/(1x3955)
LCM = 28155645000/3955
LCM = 7119000
Thus, we can understand that the LCM of 315,791,904,125 is 7119000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 791, 904, 125
1. What is the LCM of 315, 791, 904, 125?
Answer: LCM of 315, 791, 904, 125 is 7119000.
2. How to calculate the LCM of 315, 791, 904, 125?
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 315, 791, 904, 125.
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}.