LCM of 3100, 9796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3100, 9796 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 3100, 9796. So, keep reading to learn more.
Given numbers are 3100,9796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3100,9796 is 244900.
Find LCM of 3100,9796 with Prime Factorization
| 2 | 3100, 9796 |
| 2 | 1550, 4898 |
| 31 | 775, 2449 |
| 25, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 25 x 79 = 244900
Therefore, the lowest common multiple of 3100,9796 is 244900.
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.
3100 x 9796 = 30367600
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.
3100 : 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100
9796 : 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796
124 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3100,9796, is 124.
Now, the common factors can be found like this.
3100:2x 2x 5x 5x 31
9796:2x 2x 31x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 30367600/(124x1)
LCM = 30367600/124
LCM = 244900
Thus, we can understand that the LCM of 3100,9796 is 244900.
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FAQs on LCM of 3100, 9796
1. What is the LCM of 3100, 9796?
Answer: LCM of 3100, 9796 is 244900.
2. How to calculate the LCM of 3100, 9796?
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 3100, 9796.
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}.