LCM of 310, 717, 174, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 717, 174, 319 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 310, 717, 174, 319. So, keep reading to learn more.
Given numbers are 310,717,174,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,717,174,319 is 70904130.
Find LCM of 310,717,174,319 with Prime Factorization
| 2 | 310, 717, 174, 319 |
| 3 | 155, 717, 87, 319 |
| 29 | 155, 239, 29, 319 |
| 155, 239, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 155 x 239 x 1 x 11 = 70904130
Therefore, the lowest common multiple of 310,717,174,319 is 70904130.
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.
310 x 717 x 174 x 319 = 12337318620
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
717 : 1, 3, 239, 717
174 : 1, 2, 3, 6, 29, 58, 87, 174
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,717,174,319, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
717:3x 239
174:2x 3x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 12337318620/(1x174)
LCM = 12337318620/174
LCM = 70904130
Thus, we can understand that the LCM of 310,717,174,319 is 70904130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 717, 174, 319
1. What is the LCM of 310, 717, 174, 319?
Answer: LCM of 310, 717, 174, 319 is 70904130.
2. How to calculate the LCM of 310, 717, 174, 319?
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 310, 717, 174, 319.
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}.