LCM of 287, 969, 418, 144, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 969, 418, 144, 975 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 287, 969, 418, 144, 975. So, keep reading to learn more.
Given numbers are 287,969,418,144,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,969,418,144,975 is 47722474800.
Find LCM of 287,969,418,144,975 with Prime Factorization
| 2 | 287, 969, 418, 144, 975 |
| 3 | 287, 969, 209, 72, 975 |
| 19 | 287, 323, 209, 24, 325 |
| 287, 17, 11, 24, 325 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 287 x 17 x 11 x 24 x 325 = 47722474800
Therefore, the lowest common multiple of 287,969,418,144,975 is 47722474800.
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.
287 x 969 x 418 x 144 x 975 = 16321086381600
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.
287 : 1, 7, 41, 287
969 : 1, 3, 17, 19, 51, 57, 323, 969
418 : 1, 2, 11, 19, 22, 38, 209, 418
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,969,418,144,975, is 1.
Now, the common factors can be found like this.
287:7x 41
969:3x 17x 19
418:2x 11x 19
144:2x 2x 2x 2x 3x 3
975:3x 5x 5x 13
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 19 = 342
Therefore, the value for common factors is 342.
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 = 16321086381600/(1x342)
LCM = 16321086381600/342
LCM = 47722474800
Thus, we can understand that the LCM of 287,969,418,144,975 is 47722474800.
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FAQs on LCM of 287, 969, 418, 144, 975
1. What is the LCM of 287, 969, 418, 144, 975?
Answer: LCM of 287, 969, 418, 144, 975 is 47722474800.
2. How to calculate the LCM of 287, 969, 418, 144, 975?
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 287, 969, 418, 144, 975.
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}.