LCM of 401, 958, 856, 958
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 958, 856, 958 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, 958, 856, 958. So, keep reading to learn more.
Given numbers are 401,958,856,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,958,856,958 is 164419624.
Find LCM of 401,958,856,958 with Prime Factorization
| 2 | 401, 958, 856, 958 |
| 479 | 401, 479, 428, 479 |
| 401, 1, 428, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 479 x 401 x 1 x 428 x 1 = 164419624
Therefore, the lowest common multiple of 401,958,856,958 is 164419624.
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 958 x 856 x 958 = 315027999584
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
958 : 1, 2, 479, 958
856 : 1, 2, 4, 8, 107, 214, 428, 856
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,958,856,958, is 1.
Now, the common factors can be found like this.
401:401
958:2x 479
856:2x 2x 2x 107
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 479 = 1916
Therefore, the value for common factors is 1916.
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 = 315027999584/(1x1916)
LCM = 315027999584/1916
LCM = 164419624
Thus, we can understand that the LCM of 401,958,856,958 is 164419624.
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FAQs on LCM of 401, 958, 856, 958
1. What is the LCM of 401, 958, 856, 958?
Answer: LCM of 401, 958, 856, 958 is 164419624.
2. How to calculate the LCM of 401, 958, 856, 958?
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, 958, 856, 958.
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}.