LCM of 747, 344, 573, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 344, 573, 257 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 747, 344, 573, 257. So, keep reading to learn more.
Given numbers are 747,344,573,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,344,573,257 is 12613788216.
Find LCM of 747,344,573,257 with Prime Factorization
| 3 | 747, 344, 573, 257 |
| 249, 344, 191, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 249 x 344 x 191 x 257 = 12613788216
Therefore, the lowest common multiple of 747,344,573,257 is 12613788216.
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.
747 x 344 x 573 x 257 = 37841364648
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.
747 : 1, 3, 9, 83, 249, 747
344 : 1, 2, 4, 8, 43, 86, 172, 344
573 : 1, 3, 191, 573
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,344,573,257, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
344:2x 2x 2x 43
573:3x 191
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 37841364648/(1x3)
LCM = 37841364648/3
LCM = 12613788216
Thus, we can understand that the LCM of 747,344,573,257 is 12613788216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 344, 573, 257
1. What is the LCM of 747, 344, 573, 257?
Answer: LCM of 747, 344, 573, 257 is 12613788216.
2. How to calculate the LCM of 747, 344, 573, 257?
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 747, 344, 573, 257.
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}.