LCM of 586, 978, 684, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 978, 684, 103 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, 978, 684, 103. So, keep reading to learn more.
Given numbers are 586,978,684,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,978,684,103 is 3364717068.
Find LCM of 586,978,684,103 with Prime Factorization
| 2 | 586, 978, 684, 103 |
| 3 | 293, 489, 342, 103 |
| 293, 163, 114, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 163 x 114 x 103 = 3364717068
Therefore, the lowest common multiple of 586,978,684,103 is 3364717068.
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 978 x 684 x 103 = 40376604816
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
978 : 1, 2, 3, 6, 163, 326, 489, 978
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,978,684,103, is 1.
Now, the common factors can be found like this.
586:2x 293
978:2x 3x 163
684:2x 2x 3x 3x 19
103:103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 40376604816/(1x12)
LCM = 40376604816/12
LCM = 3364717068
Thus, we can understand that the LCM of 586,978,684,103 is 3364717068.
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FAQs on LCM of 586, 978, 684, 103
1. What is the LCM of 586, 978, 684, 103?
Answer: LCM of 586, 978, 684, 103 is 3364717068.
2. How to calculate the LCM of 586, 978, 684, 103?
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, 978, 684, 103.
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}.