LCM of 299, 906, 453, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 906, 453, 797 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 299, 906, 453, 797. So, keep reading to learn more.
Given numbers are 299,906,453,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,906,453,797 is 215902518.
Find LCM of 299,906,453,797 with Prime Factorization
| 3 | 299, 906, 453, 797 |
| 151 | 299, 302, 151, 797 |
| 299, 2, 1, 797 |
Multiply the prime numbers at the bottom and the left side.
3 x 151 x 299 x 2 x 1 x 797 = 215902518
Therefore, the lowest common multiple of 299,906,453,797 is 215902518.
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.
299 x 906 x 453 x 797 = 97803840654
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.
299 : 1, 13, 23, 299
906 : 1, 2, 3, 6, 151, 302, 453, 906
453 : 1, 3, 151, 453
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,906,453,797, is 1.
Now, the common factors can be found like this.
299:13x 23
906:2x 3x 151
453:3x 151
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 151 = 453
Therefore, the value for common factors is 453.
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 = 97803840654/(1x453)
LCM = 97803840654/453
LCM = 215902518
Thus, we can understand that the LCM of 299,906,453,797 is 215902518.
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FAQs on LCM of 299, 906, 453, 797
1. What is the LCM of 299, 906, 453, 797?
Answer: LCM of 299, 906, 453, 797 is 215902518.
2. How to calculate the LCM of 299, 906, 453, 797?
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 299, 906, 453, 797.
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}.