LCM of 279, 285, 713, 554, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 285, 713, 554, 822 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 279, 285, 713, 554, 822. So, keep reading to learn more.
Given numbers are 279,285,713,554,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,285,713,554,822 is 46268559270.
Find LCM of 279,285,713,554,822 with Prime Factorization
| 2 | 279, 285, 713, 554, 822 |
| 3 | 279, 285, 713, 277, 411 |
| 31 | 93, 95, 713, 277, 137 |
| 3, 95, 23, 277, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 3 x 95 x 23 x 277 x 137 = 46268559270
Therefore, the lowest common multiple of 279,285,713,554,822 is 46268559270.
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.
279 x 285 x 713 x 554 x 822 = 25817856072660
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.
279 : 1, 3, 9, 31, 93, 279
285 : 1, 3, 5, 15, 19, 57, 95, 285
713 : 1, 23, 31, 713
554 : 1, 2, 277, 554
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,285,713,554,822, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
285:3x 5x 19
713:23x 31
554:2x 277
822:2x 3x 137
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 31 = 558
Therefore, the value for common factors is 558.
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 = 25817856072660/(1x558)
LCM = 25817856072660/558
LCM = 46268559270
Thus, we can understand that the LCM of 279,285,713,554,822 is 46268559270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 285, 713, 554, 822
1. What is the LCM of 279, 285, 713, 554, 822?
Answer: LCM of 279, 285, 713, 554, 822 is 46268559270.
2. How to calculate the LCM of 279, 285, 713, 554, 822?
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 279, 285, 713, 554, 822.
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}.