LCM of 276, 411, 713, 291, 485
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 411, 713, 291, 485 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 276, 411, 713, 291, 485. So, keep reading to learn more.
Given numbers are 276,411,713,291,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,411,713,291,485 is 568503420.
Find LCM of 276,411,713,291,485 with Prime Factorization
| 3 | 276, 411, 713, 291, 485 |
| 23 | 92, 137, 713, 97, 485 |
| 97 | 4, 137, 31, 97, 485 |
| 4, 137, 31, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 97 x 4 x 137 x 31 x 1 x 5 = 568503420
Therefore, the lowest common multiple of 276,411,713,291,485 is 568503420.
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.
276 x 411 x 713 x 291 x 485 = 11414980170180
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
411 : 1, 3, 137, 411
713 : 1, 23, 31, 713
291 : 1, 3, 97, 291
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,411,713,291,485, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
411:3x 137
713:23x 31
291:3x 97
485:5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23x 97 = 20079
Therefore, the value for common factors is 20079.
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 = 11414980170180/(1x20079)
LCM = 11414980170180/20079
LCM = 568503420
Thus, we can understand that the LCM of 276,411,713,291,485 is 568503420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 276, 411, 713, 291, 485
1. What is the LCM of 276, 411, 713, 291, 485?
Answer: LCM of 276, 411, 713, 291, 485 is 568503420.
2. How to calculate the LCM of 276, 411, 713, 291, 485?
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 276, 411, 713, 291, 485.
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}.