LCM of 253, 423, 808, 851, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 423, 808, 851, 309 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, 423, 808, 851, 309. So, keep reading to learn more.
Given numbers are 253,423,808,851,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,423,808,851,309 is 329542322472.
Find LCM of 253,423,808,851,309 with Prime Factorization
| 3 | 253, 423, 808, 851, 309 |
| 23 | 253, 141, 808, 851, 103 |
| 11, 141, 808, 37, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 11 x 141 x 808 x 37 x 103 = 329542322472
Therefore, the lowest common multiple of 253,423,808,851,309 is 329542322472.
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 423 x 808 x 851 x 309 = 22738420250568
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
423 : 1, 3, 9, 47, 141, 423
808 : 1, 2, 4, 8, 101, 202, 404, 808
851 : 1, 23, 37, 851
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,423,808,851,309, is 1.
Now, the common factors can be found like this.
253:11x 23
423:3x 3x 47
808:2x 2x 2x 101
851:23x 37
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23 = 69
Therefore, the value for common factors is 69.
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 = 22738420250568/(1x69)
LCM = 22738420250568/69
LCM = 329542322472
Thus, we can understand that the LCM of 253,423,808,851,309 is 329542322472.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 423, 808, 851, 309
1. What is the LCM of 253, 423, 808, 851, 309?
Answer: LCM of 253, 423, 808, 851, 309 is 329542322472.
2. How to calculate the LCM of 253, 423, 808, 851, 309?
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, 423, 808, 851, 309.
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}.