LCM of 229, 347, 682, 248, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 347, 682, 248, 775 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 229, 347, 682, 248, 775. So, keep reading to learn more.
Given numbers are 229,347,682,248,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,347,682,248,775 is 5419376600.
Find LCM of 229,347,682,248,775 with Prime Factorization
| 2 | 229, 347, 682, 248, 775 |
| 31 | 229, 347, 341, 124, 775 |
| 229, 347, 11, 4, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 229 x 347 x 11 x 4 x 25 = 5419376600
Therefore, the lowest common multiple of 229,347,682,248,775 is 5419376600.
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.
229 x 347 x 682 x 248 x 775 = 10416041825200
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.
229 : 1, 229
347 : 1, 347
682 : 1, 2, 11, 22, 31, 62, 341, 682
248 : 1, 2, 4, 8, 31, 62, 124, 248
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,347,682,248,775, is 1.
Now, the common factors can be found like this.
229:229
347:347
682:2x 11x 31
248:2x 2x 2x 31
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31x 31 = 1922
Therefore, the value for common factors is 1922.
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 = 10416041825200/(1x1922)
LCM = 10416041825200/1922
LCM = 5419376600
Thus, we can understand that the LCM of 229,347,682,248,775 is 5419376600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 347, 682, 248, 775
1. What is the LCM of 229, 347, 682, 248, 775?
Answer: LCM of 229, 347, 682, 248, 775 is 5419376600.
2. How to calculate the LCM of 229, 347, 682, 248, 775?
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 229, 347, 682, 248, 775.
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}.