LCM of 620, 868, 103, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 868, 103, 289 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 620, 868, 103, 289. So, keep reading to learn more.
Given numbers are 620,868,103,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,868,103,289 is 129188780.
Find LCM of 620,868,103,289 with Prime Factorization
| 2 | 620, 868, 103, 289 |
| 2 | 310, 434, 103, 289 |
| 31 | 155, 217, 103, 289 |
| 5, 7, 103, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 5 x 7 x 103 x 289 = 129188780
Therefore, the lowest common multiple of 620,868,103,289 is 129188780.
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.
620 x 868 x 103 x 289 = 16019408720
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
103 : 1, 103
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,868,103,289, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
868:2x 2x 7x 31
103:103
289:17x 17
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 31 = 124
Therefore, the value for common factors is 124.
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 = 16019408720/(1x124)
LCM = 16019408720/124
LCM = 129188780
Thus, we can understand that the LCM of 620,868,103,289 is 129188780.
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FAQs on LCM of 620, 868, 103, 289
1. What is the LCM of 620, 868, 103, 289?
Answer: LCM of 620, 868, 103, 289 is 129188780.
2. How to calculate the LCM of 620, 868, 103, 289?
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 620, 868, 103, 289.
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}.