LCM of 941, 350, 966, 644, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 350, 966, 644, 614 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 941, 350, 966, 644, 614. So, keep reading to learn more.
Given numbers are 941,350,966,644,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,350,966,644,614 is 13953242100.
Find LCM of 941,350,966,644,614 with Prime Factorization
| 2 | 941, 350, 966, 644, 614 |
| 7 | 941, 175, 483, 322, 307 |
| 23 | 941, 25, 69, 46, 307 |
| 941, 25, 3, 2, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 941 x 25 x 3 x 2 x 307 = 13953242100
Therefore, the lowest common multiple of 941,350,966,644,614 is 13953242100.
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.
941 x 350 x 966 x 644 x 614 = 125802430773600
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.
941 : 1, 941
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,350,966,644,614, is 1.
Now, the common factors can be found like this.
941:941
350:2x 5x 5x 7
966:2x 3x 7x 23
644:2x 2x 7x 23
614:2x 307
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 2x 7x 7x 23 = 9016
Therefore, the value for common factors is 9016.
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 = 125802430773600/(1x9016)
LCM = 125802430773600/9016
LCM = 13953242100
Thus, we can understand that the LCM of 941,350,966,644,614 is 13953242100.
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FAQs on LCM of 941, 350, 966, 644, 614
1. What is the LCM of 941, 350, 966, 644, 614?
Answer: LCM of 941, 350, 966, 644, 614 is 13953242100.
2. How to calculate the LCM of 941, 350, 966, 644, 614?
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 941, 350, 966, 644, 614.
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}.