LCM of 279, 586, 550, 484, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 586, 550, 484, 978 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, 586, 550, 484, 978. So, keep reading to learn more.
Given numbers are 279,586,550,484,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,586,550,484,978 is 161229608100.
Find LCM of 279,586,550,484,978 with Prime Factorization
| 2 | 279, 586, 550, 484, 978 |
| 3 | 279, 293, 275, 242, 489 |
| 11 | 93, 293, 275, 242, 163 |
| 93, 293, 25, 22, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 93 x 293 x 25 x 22 x 163 = 161229608100
Therefore, the lowest common multiple of 279,586,550,484,978 is 161229608100.
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 586 x 550 x 484 x 978 = 42564616538400
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
586 : 1, 2, 293, 586
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,586,550,484,978, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
586:2x 293
550:2x 5x 5x 11
484:2x 2x 11x 11
978:2x 3x 163
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 42564616538400/(1x264)
LCM = 42564616538400/264
LCM = 161229608100
Thus, we can understand that the LCM of 279,586,550,484,978 is 161229608100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 279, 586, 550, 484, 978
1. What is the LCM of 279, 586, 550, 484, 978?
Answer: LCM of 279, 586, 550, 484, 978 is 161229608100.
2. How to calculate the LCM of 279, 586, 550, 484, 978?
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, 586, 550, 484, 978.
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}.