LCM of 401, 391, 627, 675, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 391, 627, 675, 275 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 401, 391, 627, 675, 275. So, keep reading to learn more.
Given numbers are 401,391,627,675,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,391,627,675,275 is 22119290325.
Find LCM of 401,391,627,675,275 with Prime Factorization
| 3 | 401, 391, 627, 675, 275 |
| 5 | 401, 391, 209, 225, 275 |
| 5 | 401, 391, 209, 45, 55 |
| 11 | 401, 391, 209, 9, 11 |
| 401, 391, 19, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 11 x 401 x 391 x 19 x 9 x 1 = 22119290325
Therefore, the lowest common multiple of 401,391,627,675,275 is 22119290325.
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.
401 x 391 x 627 x 675 x 275 = 18248414518125
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.
401 : 1, 401
391 : 1, 17, 23, 391
627 : 1, 3, 11, 19, 33, 57, 209, 627
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,391,627,675,275, is 1.
Now, the common factors can be found like this.
401:401
391:17x 23
627:3x 11x 19
675:3x 3x 3x 5x 5
275:5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11 = 825
Therefore, the value for common factors is 825.
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 = 18248414518125/(1x825)
LCM = 18248414518125/825
LCM = 22119290325
Thus, we can understand that the LCM of 401,391,627,675,275 is 22119290325.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 401, 391, 627, 675, 275
1. What is the LCM of 401, 391, 627, 675, 275?
Answer: LCM of 401, 391, 627, 675, 275 is 22119290325.
2. How to calculate the LCM of 401, 391, 627, 675, 275?
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 401, 391, 627, 675, 275.
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}.