LCM of 401, 966, 914, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 966, 914, 978 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, 966, 914, 978. So, keep reading to learn more.
Given numbers are 401,966,914,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,966,914,978 is 28855280706.
Find LCM of 401,966,914,978 with Prime Factorization
| 2 | 401, 966, 914, 978 |
| 3 | 401, 483, 457, 489 |
| 401, 161, 457, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 401 x 161 x 457 x 163 = 28855280706
Therefore, the lowest common multiple of 401,966,914,978 is 28855280706.
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 966 x 914 x 978 = 346263368472
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
914 : 1, 2, 457, 914
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,966,914,978, is 1.
Now, the common factors can be found like this.
401:401
966:2x 3x 7x 23
914:2x 457
978:2x 3x 163
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 3 = 12
Therefore, the value for common factors is 12.
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 = 346263368472/(1x12)
LCM = 346263368472/12
LCM = 28855280706
Thus, we can understand that the LCM of 401,966,914,978 is 28855280706.
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FAQs on LCM of 401, 966, 914, 978
1. What is the LCM of 401, 966, 914, 978?
Answer: LCM of 401, 966, 914, 978 is 28855280706.
2. How to calculate the LCM of 401, 966, 914, 978?
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, 966, 914, 978.
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}.