LCM of 501, 897, 813, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 897, 813, 299 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 501, 897, 813, 299. So, keep reading to learn more.
Given numbers are 501,897,813,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,897,813,299 is 40595529.
Find LCM of 501,897,813,299 with Prime Factorization
| 3 | 501, 897, 813, 299 |
| 13 | 167, 299, 271, 299 |
| 23 | 167, 23, 271, 23 |
| 167, 1, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 167 x 1 x 271 x 1 = 40595529
Therefore, the lowest common multiple of 501,897,813,299 is 40595529.
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.
501 x 897 x 813 x 299 = 109242568539
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.
501 : 1, 3, 167, 501
897 : 1, 3, 13, 23, 39, 69, 299, 897
813 : 1, 3, 271, 813
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,897,813,299, is 1.
Now, the common factors can be found like this.
501:3x 167
897:3x 13x 23
813:3x 271
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 23 = 2691
Therefore, the value for common factors is 2691.
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 = 109242568539/(1x2691)
LCM = 109242568539/2691
LCM = 40595529
Thus, we can understand that the LCM of 501,897,813,299 is 40595529.
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FAQs on LCM of 501, 897, 813, 299
1. What is the LCM of 501, 897, 813, 299?
Answer: LCM of 501, 897, 813, 299 is 40595529.
2. How to calculate the LCM of 501, 897, 813, 299?
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 501, 897, 813, 299.
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}.