LCM of 269, 629, 921, 315, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 629, 921, 315, 270 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 269, 629, 921, 315, 270. So, keep reading to learn more.
Given numbers are 269,629,921,315,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,629,921,315,270 is 98175496230.
Find LCM of 269,629,921,315,270 with Prime Factorization
| 3 | 269, 629, 921, 315, 270 |
| 3 | 269, 629, 307, 105, 90 |
| 5 | 269, 629, 307, 35, 30 |
| 269, 629, 307, 7, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 269 x 629 x 307 x 7 x 6 = 98175496230
Therefore, the lowest common multiple of 269,629,921,315,270 is 98175496230.
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.
269 x 629 x 921 x 315 x 270 = 13253691991050
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.
269 : 1, 269
629 : 1, 17, 37, 629
921 : 1, 3, 307, 921
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,629,921,315,270, is 1.
Now, the common factors can be found like this.
269:269
629:17x 37
921:3x 307
315:3x 3x 5x 7
270:2x 3x 3x 3x 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 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 13253691991050/(1x135)
LCM = 13253691991050/135
LCM = 98175496230
Thus, we can understand that the LCM of 269,629,921,315,270 is 98175496230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 269, 629, 921, 315, 270
1. What is the LCM of 269, 629, 921, 315, 270?
Answer: LCM of 269, 629, 921, 315, 270 is 98175496230.
2. How to calculate the LCM of 269, 629, 921, 315, 270?
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 269, 629, 921, 315, 270.
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}.