LCM of 317, 875, 975, 375
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 317, 875, 975, 375 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 317, 875, 975, 375. So, keep reading to learn more.
Given numbers are 317,875,975,375
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,875,975,375 is 10817625.
Find LCM of 317,875,975,375 with Prime Factorization
| 3 | 317, 875, 975, 375 |
| 5 | 317, 875, 325, 125 |
| 5 | 317, 175, 65, 25 |
| 5 | 317, 35, 13, 5 |
| 317, 7, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 5 x 317 x 7 x 13 x 1 = 10817625
Therefore, the lowest common multiple of 317,875,975,375 is 10817625.
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.
317 x 875 x 975 x 375 = 101415234375
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.
317 : 1, 317
875 : 1, 5, 7, 25, 35, 125, 175, 875
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
375 : 1, 3, 5, 15, 25, 75, 125, 375
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,875,975,375, is 1.
Now, the common factors can be found like this.
317:317
875:5x 5x 5x 7
975:3x 5x 5x 13
375:3x 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.
3x 5x 5x 5x 5x 5 = 9375
Therefore, the value for common factors is 9375.
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 = 101415234375/(1x9375)
LCM = 101415234375/9375
LCM = 10817625
Thus, we can understand that the LCM of 317,875,975,375 is 10817625.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 317, 875, 975, 375
1. What is the LCM of 317, 875, 975, 375?
Answer: LCM of 317, 875, 975, 375 is 10817625.
2. How to calculate the LCM of 317, 875, 975, 375?
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 317, 875, 975, 375.
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}.