LCM of 253, 309, 431, 737, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 309, 431, 737, 759 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 253, 309, 431, 737, 759. So, keep reading to learn more.
Given numbers are 253,309,431,737,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,309,431,737,759 is 2257517229.
Find LCM of 253,309,431,737,759 with Prime Factorization
| 3 | 253, 309, 431, 737, 759 |
| 11 | 253, 103, 431, 737, 253 |
| 23 | 23, 103, 431, 67, 23 |
| 1, 103, 431, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 1 x 103 x 431 x 67 x 1 = 2257517229
Therefore, the lowest common multiple of 253,309,431,737,759 is 2257517229.
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.
253 x 309 x 431 x 737 x 759 = 18848011344921
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.
253 : 1, 11, 23, 253
309 : 1, 3, 103, 309
431 : 1, 431
737 : 1, 11, 67, 737
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,309,431,737,759, is 1.
Now, the common factors can be found like this.
253:11x 23
309:3x 103
431:431
737:11x 67
759:3x 11x 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 11x 11x 23 = 8349
Therefore, the value for common factors is 8349.
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 = 18848011344921/(1x8349)
LCM = 18848011344921/8349
LCM = 2257517229
Thus, we can understand that the LCM of 253,309,431,737,759 is 2257517229.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 309, 431, 737, 759
1. What is the LCM of 253, 309, 431, 737, 759?
Answer: LCM of 253, 309, 431, 737, 759 is 2257517229.
2. How to calculate the LCM of 253, 309, 431, 737, 759?
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 253, 309, 431, 737, 759.
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}.