LCM of 259, 370, 574, 950, 192
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 370, 574, 950, 192 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 259, 370, 574, 950, 192. So, keep reading to learn more.
Given numbers are 259,370,574,950,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,370,574,950,192 is 968452800.
Find LCM of 259,370,574,950,192 with Prime Factorization
| 2 | 259, 370, 574, 950, 192 |
| 5 | 259, 185, 287, 475, 96 |
| 7 | 259, 37, 287, 95, 96 |
| 37 | 37, 37, 41, 95, 96 |
| 1, 1, 41, 95, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 37 x 1 x 1 x 41 x 95 x 96 = 968452800
Therefore, the lowest common multiple of 259,370,574,950,192 is 968452800.
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.
259 x 370 x 574 x 950 x 192 = 10033171008000
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.
259 : 1, 7, 37, 259
370 : 1, 2, 5, 10, 37, 74, 185, 370
574 : 1, 2, 7, 14, 41, 82, 287, 574
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,370,574,950,192, is 1.
Now, the common factors can be found like this.
259:7x 37
370:2x 5x 37
574:2x 7x 41
950:2x 5x 5x 19
192:2x 2x 2x 2x 2x 2x 3
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 5x 7x 37 = 10360
Therefore, the value for common factors is 10360.
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 = 10033171008000/(1x10360)
LCM = 10033171008000/10360
LCM = 968452800
Thus, we can understand that the LCM of 259,370,574,950,192 is 968452800.
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FAQs on LCM of 259, 370, 574, 950, 192
1. What is the LCM of 259, 370, 574, 950, 192?
Answer: LCM of 259, 370, 574, 950, 192 is 968452800.
2. How to calculate the LCM of 259, 370, 574, 950, 192?
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 259, 370, 574, 950, 192.
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}.