LCM of 586, 506, 978, 278, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 506, 978, 278, 131 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 586, 506, 978, 278, 131. So, keep reading to learn more.
Given numbers are 586,506,978,278,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,506,978,278,131 is 1320119031858.
Find LCM of 586,506,978,278,131 with Prime Factorization
| 2 | 586, 506, 978, 278, 131 |
| 293, 253, 489, 139, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 293 x 253 x 489 x 139 x 131 = 1320119031858
Therefore, the lowest common multiple of 586,506,978,278,131 is 1320119031858.
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.
586 x 506 x 978 x 278 x 131 = 10560952254864
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.
586 : 1, 2, 293, 586
506 : 1, 2, 11, 22, 23, 46, 253, 506
978 : 1, 2, 3, 6, 163, 326, 489, 978
278 : 1, 2, 139, 278
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,506,978,278,131, is 1.
Now, the common factors can be found like this.
586:2x 293
506:2x 11x 23
978:2x 3x 163
278:2x 139
131:131
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 2 = 8
Therefore, the value for common factors is 8.
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 = 10560952254864/(1x8)
LCM = 10560952254864/8
LCM = 1320119031858
Thus, we can understand that the LCM of 586,506,978,278,131 is 1320119031858.
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FAQs on LCM of 586, 506, 978, 278, 131
1. What is the LCM of 586, 506, 978, 278, 131?
Answer: LCM of 586, 506, 978, 278, 131 is 1320119031858.
2. How to calculate the LCM of 586, 506, 978, 278, 131?
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 586, 506, 978, 278, 131.
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}.