LCM of 319, 722, 825, 171, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 722, 825, 171, 968 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 319, 722, 825, 171, 968. So, keep reading to learn more.
Given numbers are 319,722,825,171,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,722,825,171,968 is 2280148200.
Find LCM of 319,722,825,171,968 with Prime Factorization
| 2 | 319, 722, 825, 171, 968 |
| 3 | 319, 361, 825, 171, 484 |
| 11 | 319, 361, 275, 57, 484 |
| 19 | 29, 361, 25, 57, 44 |
| 29, 19, 25, 3, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 29 x 19 x 25 x 3 x 44 = 2280148200
Therefore, the lowest common multiple of 319,722,825,171,968 is 2280148200.
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.
319 x 722 x 825 x 171 x 968 = 31452364270800
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.
319 : 1, 11, 29, 319
722 : 1, 2, 19, 38, 361, 722
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
171 : 1, 3, 9, 19, 57, 171
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,722,825,171,968, is 1.
Now, the common factors can be found like this.
319:11x 29
722:2x 19x 19
825:3x 5x 5x 11
171:3x 3x 19
968:2x 2x 2x 11x 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 3x 11x 11x 19 = 13794
Therefore, the value for common factors is 13794.
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 = 31452364270800/(1x13794)
LCM = 31452364270800/13794
LCM = 2280148200
Thus, we can understand that the LCM of 319,722,825,171,968 is 2280148200.
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FAQs on LCM of 319, 722, 825, 171, 968
1. What is the LCM of 319, 722, 825, 171, 968?
Answer: LCM of 319, 722, 825, 171, 968 is 2280148200.
2. How to calculate the LCM of 319, 722, 825, 171, 968?
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 319, 722, 825, 171, 968.
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}.