LCM of 845, 326, 897, 759, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 326, 897, 759, 499 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 845, 326, 897, 759, 499. So, keep reading to learn more.
Given numbers are 845,326,897,759,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,326,897,759,499 is 104331783270.
Find LCM of 845,326,897,759,499 with Prime Factorization
| 3 | 845, 326, 897, 759, 499 |
| 13 | 845, 326, 299, 253, 499 |
| 23 | 65, 326, 23, 253, 499 |
| 65, 326, 1, 11, 499 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 65 x 326 x 1 x 11 x 499 = 104331783270
Therefore, the lowest common multiple of 845,326,897,759,499 is 104331783270.
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.
845 x 326 x 897 x 759 x 499 = 93585609593190
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.
845 : 1, 5, 13, 65, 169, 845
326 : 1, 2, 163, 326
897 : 1, 3, 13, 23, 39, 69, 299, 897
759 : 1, 3, 11, 23, 33, 69, 253, 759
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,326,897,759,499, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
326:2x 163
897:3x 13x 23
759:3x 11x 23
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 23 = 897
Therefore, the value for common factors is 897.
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 = 93585609593190/(1x897)
LCM = 93585609593190/897
LCM = 104331783270
Thus, we can understand that the LCM of 845,326,897,759,499 is 104331783270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 326, 897, 759, 499
1. What is the LCM of 845, 326, 897, 759, 499?
Answer: LCM of 845, 326, 897, 759, 499 is 104331783270.
2. How to calculate the LCM of 845, 326, 897, 759, 499?
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 845, 326, 897, 759, 499.
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}.