LCM of 814, 944, 253, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 944, 253, 345 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 814, 944, 253, 345. So, keep reading to learn more.
Given numbers are 814,944,253,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,944,253,345 is 132551760.
Find LCM of 814,944,253,345 with Prime Factorization
| 2 | 814, 944, 253, 345 |
| 11 | 407, 472, 253, 345 |
| 23 | 37, 472, 23, 345 |
| 37, 472, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 37 x 472 x 1 x 15 = 132551760
Therefore, the lowest common multiple of 814,944,253,345 is 132551760.
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.
814 x 944 x 253 x 345 = 67071190560
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
253 : 1, 11, 23, 253
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,944,253,345, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
944:2x 2x 2x 2x 59
253:11x 23
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 67071190560/(1x506)
LCM = 67071190560/506
LCM = 132551760
Thus, we can understand that the LCM of 814,944,253,345 is 132551760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 944, 253, 345
1. What is the LCM of 814, 944, 253, 345?
Answer: LCM of 814, 944, 253, 345 is 132551760.
2. How to calculate the LCM of 814, 944, 253, 345?
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 814, 944, 253, 345.
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}.