LCM of 909, 793, 210, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 793, 210, 491 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 909, 793, 210, 491. So, keep reading to learn more.
Given numbers are 909,793,210,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,793,210,491 is 24775167690.
Find LCM of 909,793,210,491 with Prime Factorization
| 3 | 909, 793, 210, 491 |
| 303, 793, 70, 491 |
Multiply the prime numbers at the bottom and the left side.
3 x 303 x 793 x 70 x 491 = 24775167690
Therefore, the lowest common multiple of 909,793,210,491 is 24775167690.
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.
909 x 793 x 210 x 491 = 74325503070
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.
909 : 1, 3, 9, 101, 303, 909
793 : 1, 13, 61, 793
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,793,210,491, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
793:13x 61
210:2x 3x 5x 7
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 74325503070/(1x3)
LCM = 74325503070/3
LCM = 24775167690
Thus, we can understand that the LCM of 909,793,210,491 is 24775167690.
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FAQs on LCM of 909, 793, 210, 491
1. What is the LCM of 909, 793, 210, 491?
Answer: LCM of 909, 793, 210, 491 is 24775167690.
2. How to calculate the LCM of 909, 793, 210, 491?
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 909, 793, 210, 491.
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}.