LCM of 260, 945, 202, 306, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 945, 202, 306, 379 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 260, 945, 202, 306, 379. So, keep reading to learn more.
Given numbers are 260,945,202,306,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,945,202,306,379 is 31977511020.
Find LCM of 260,945,202,306,379 with Prime Factorization
| 2 | 260, 945, 202, 306, 379 |
| 3 | 130, 945, 101, 153, 379 |
| 3 | 130, 315, 101, 51, 379 |
| 5 | 130, 105, 101, 17, 379 |
| 26, 21, 101, 17, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 26 x 21 x 101 x 17 x 379 = 31977511020
Therefore, the lowest common multiple of 260,945,202,306,379 is 31977511020.
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.
260 x 945 x 202 x 306 x 379 = 5755951983600
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
202 : 1, 2, 101, 202
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,945,202,306,379, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
945:3x 3x 3x 5x 7
202:2x 101
306:2x 3x 3x 17
379:379
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 5755951983600/(1x180)
LCM = 5755951983600/180
LCM = 31977511020
Thus, we can understand that the LCM of 260,945,202,306,379 is 31977511020.
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FAQs on LCM of 260, 945, 202, 306, 379
1. What is the LCM of 260, 945, 202, 306, 379?
Answer: LCM of 260, 945, 202, 306, 379 is 31977511020.
2. How to calculate the LCM of 260, 945, 202, 306, 379?
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 260, 945, 202, 306, 379.
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}.