LCM of 287, 279, 171, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 279, 171, 496 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, 279, 171, 496. So, keep reading to learn more.
Given numbers are 287,279,171,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,279,171,496 is 24342192.
Find LCM of 287,279,171,496 with Prime Factorization
| 3 | 287, 279, 171, 496 |
| 3 | 287, 93, 57, 496 |
| 31 | 287, 31, 19, 496 |
| 287, 1, 19, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 287 x 1 x 19 x 16 = 24342192
Therefore, the lowest common multiple of 287,279,171,496 is 24342192.
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 279 x 171 x 496 = 6791471568
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
279 : 1, 3, 9, 31, 93, 279
171 : 1, 3, 9, 19, 57, 171
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,279,171,496, is 1.
Now, the common factors can be found like this.
287:7x 41
279:3x 3x 31
171:3x 3x 19
496:2x 2x 2x 2x 31
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 31 = 279
Therefore, the value for common factors is 279.
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 = 6791471568/(1x279)
LCM = 6791471568/279
LCM = 24342192
Thus, we can understand that the LCM of 287,279,171,496 is 24342192.
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FAQs on LCM of 287, 279, 171, 496
1. What is the LCM of 287, 279, 171, 496?
Answer: LCM of 287, 279, 171, 496 is 24342192.
2. How to calculate the LCM of 287, 279, 171, 496?
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, 279, 171, 496.
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}.