LCM of 315, 918, 172, 323, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 918, 172, 323, 893 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 315, 918, 172, 323, 893. So, keep reading to learn more.
Given numbers are 315,918,172,323,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,918,172,323,893 is 2467519740.
Find LCM of 315,918,172,323,893 with Prime Factorization
| 2 | 315, 918, 172, 323, 893 |
| 3 | 315, 459, 86, 323, 893 |
| 3 | 105, 153, 86, 323, 893 |
| 17 | 35, 51, 86, 323, 893 |
| 19 | 35, 3, 86, 19, 893 |
| 35, 3, 86, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 19 x 35 x 3 x 86 x 1 x 47 = 2467519740
Therefore, the lowest common multiple of 315,918,172,323,893 is 2467519740.
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.
315 x 918 x 172 x 323 x 893 = 14346159768360
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
172 : 1, 2, 4, 43, 86, 172
323 : 1, 17, 19, 323
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,918,172,323,893, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
918:2x 3x 3x 3x 17
172:2x 2x 43
323:17x 19
893:19x 47
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 3x 17x 19 = 5814
Therefore, the value for common factors is 5814.
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 = 14346159768360/(1x5814)
LCM = 14346159768360/5814
LCM = 2467519740
Thus, we can understand that the LCM of 315,918,172,323,893 is 2467519740.
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FAQs on LCM of 315, 918, 172, 323, 893
1. What is the LCM of 315, 918, 172, 323, 893?
Answer: LCM of 315, 918, 172, 323, 893 is 2467519740.
2. How to calculate the LCM of 315, 918, 172, 323, 893?
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 315, 918, 172, 323, 893.
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}.