LCM of 401, 279, 522, 841, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 279, 522, 841, 979 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, 279, 522, 841, 979. So, keep reading to learn more.
Given numbers are 401,279,522,841,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,279,522,841,979 is 184228687962.
Find LCM of 401,279,522,841,979 with Prime Factorization
| 3 | 401, 279, 522, 841, 979 |
| 3 | 401, 93, 174, 841, 979 |
| 29 | 401, 31, 58, 841, 979 |
| 401, 31, 2, 29, 979 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 401 x 31 x 2 x 29 x 979 = 184228687962
Therefore, the lowest common multiple of 401,279,522,841,979 is 184228687962.
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 279 x 522 x 841 x 979 = 48083687558082
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
279 : 1, 3, 9, 31, 93, 279
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
841 : 1, 29, 841
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,279,522,841,979, is 1.
Now, the common factors can be found like this.
401:401
279:3x 3x 31
522:2x 3x 3x 29
841:29x 29
979:11x 89
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 29 = 261
Therefore, the value for common factors is 261.
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 = 48083687558082/(1x261)
LCM = 48083687558082/261
LCM = 184228687962
Thus, we can understand that the LCM of 401,279,522,841,979 is 184228687962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 401, 279, 522, 841, 979
1. What is the LCM of 401, 279, 522, 841, 979?
Answer: LCM of 401, 279, 522, 841, 979 is 184228687962.
2. How to calculate the LCM of 401, 279, 522, 841, 979?
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, 279, 522, 841, 979.
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}.