LCM of 540, 369, 716, 879, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 369, 716, 879, 908 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 540, 369, 716, 879, 908. So, keep reading to learn more.
Given numbers are 540,369,716,879,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,369,716,879,908 is 263587083660.
Find LCM of 540,369,716,879,908 with Prime Factorization
| 2 | 540, 369, 716, 879, 908 |
| 2 | 270, 369, 358, 879, 454 |
| 3 | 135, 369, 179, 879, 227 |
| 3 | 45, 123, 179, 293, 227 |
| 15, 41, 179, 293, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 15 x 41 x 179 x 293 x 227 = 263587083660
Therefore, the lowest common multiple of 540,369,716,879,908 is 263587083660.
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.
540 x 369 x 716 x 879 x 908 = 113869620141120
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
369 : 1, 3, 9, 41, 123, 369
716 : 1, 2, 4, 179, 358, 716
879 : 1, 3, 293, 879
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,369,716,879,908, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
369:3x 3x 41
716:2x 2x 179
879:3x 293
908:2x 2x 227
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 113869620141120/(1x432)
LCM = 113869620141120/432
LCM = 263587083660
Thus, we can understand that the LCM of 540,369,716,879,908 is 263587083660.
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FAQs on LCM of 540, 369, 716, 879, 908
1. What is the LCM of 540, 369, 716, 879, 908?
Answer: LCM of 540, 369, 716, 879, 908 is 263587083660.
2. How to calculate the LCM of 540, 369, 716, 879, 908?
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 540, 369, 716, 879, 908.
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}.