LCM of 4906, 9130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4906, 9130 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 4906, 9130. So, keep reading to learn more.
Given numbers are 4906,9130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4906,9130 is 2035990.
Find LCM of 4906,9130 with Prime Factorization
| 2 | 4906, 9130 |
| 11 | 2453, 4565 |
| 223, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 223 x 415 = 2035990
Therefore, the lowest common multiple of 4906,9130 is 2035990.
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.
4906 x 9130 = 44791780
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.
4906 : 1, 2, 11, 22, 223, 446, 2453, 4906
9130 : 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130
22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4906,9130, is 22.
Now, the common factors can be found like this.
4906:2x 11x 223
9130:2x 5x 11x 83
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 = 44791780/(22x1)
LCM = 44791780/22
LCM = 2035990
Thus, we can understand that the LCM of 4906,9130 is 2035990.
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FAQs on LCM of 4906, 9130
1. What is the LCM of 4906, 9130?
Answer: LCM of 4906, 9130 is 2035990.
2. How to calculate the LCM of 4906, 9130?
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 4906, 9130.
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}.